go to infinity

USAGE SUMMARY

The phrase "go to infinity" is correct and usable in written English.
It can be used in mathematical contexts, philosophical discussions, or when describing limitless possibilities. Example: "In calculus, we often analyze the behavior of functions as they go to infinity."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

It would go to infinity.

The New York Times - Sports

Here's a (green) source of force, with the radiating (red) lines (which should go to infinity) representing the force field.

The Guardian

An irrational number can't be expressed as a fraction composed of whole numbers, and, furthermore, its digits go to infinity without repeating periodically.

The New Yorker

WALL STREET JOURNAL How High Will Gold Go? Try 'Infinity'  |  Former Congressman Ron Paul, an outspoken believer in gold, predicted on CNBC that "the dollar will collapse totally" and gold prices "will go to infinity".

The New York Times

Essentially, the cost of recording your life as you live it, capturing your memorable moments, would go to infinity, as you had to figure out how to contact and buy licences from thousands of obscure architects or their licencees.

The Guardian - Tech

Then, if we let go to infinity, (3.10).

Fixed Point Theory and Applications

Please note that when a green approach attains LAR = 100%%, its ρ will go to infinity.

EURASIP Journal on Wireless Communications and Networking

Hence, (|mathrm{x}(t)|) cannot go to infinity as t goes to finite time.

Boundary Value Problems

If we let go to infinity, then it follows from (3.12) that (3.15).

Journal of Inequalities and Applications

If I th is constant as temperature varies, T 0 will go to infinity.

Nanoscale Research Letters

Thus the queue lengths will not go to infinity, and stability is preserved.

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

Use "go to infinity" when describing mathematical limits, theoretical concepts, or situations where something increases without any foreseeable bound. This phrase effectively conveys the idea of reaching an immeasurable extent.

Common error

While "go to infinity" can be used metaphorically, ensure the context clearly supports this usage. Overusing it in non-technical contexts can dilute its impact. Consider if a more precise phrase might be more suitable.

Linguistic Context

The phrase "go to infinity" functions primarily as a verbal phrase or adverbial phrase, indicating a process or state approaching a limitless extent. Examples from Ludwig AI demonstrate its use both in mathematical and metaphorical contexts, describing unbounded growth or endless duration.

Expression frequency: Very common

Frequent in

Science

84%

News & Media

16%

Formal & Business

0%

Less common in

Wiki

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "go to infinity" is a versatile expression used to describe a process or state that approaches a limitless extent. As confirmed by Ludwig AI, it is grammatically sound and applicable in both mathematical and metaphorical contexts. Common in scientific and news-related content, it conveys unbounded growth or endless duration. Related phrases such as "extend without limit" or "approach infinity", offer similar meanings depending on the nuances you wish to convey. When using the phrase, it's best to ensure that the context clearly supports its use, whether it’s in a technical discussion or a more figurative sense.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Approach infinity

Highlights the tendency toward an infinite value or state.

Tend towards infinity

Emphasizes the directional movement toward an unlimited quantity.

Extend without limit

Focuses on the continuous and unbounded nature of the extension.

Increase without bound

Stresses the continuous and unrestricted growth or increase.

Reach the infinite

Implies the actual attainment of an infinite state, which is often theoretical.

Expand indefinitely

Highlights the ongoing and unlimited nature of the expansion.

Grow infinitely

Emphasizes the infinite nature of the growth process.

Become boundless

Focuses on the state of being without boundaries or limits.

Become limitless

Focuses on achieving a state where there are no limits.

Stretch to forever

Emphasizes the endless duration and spatial extent.

FAQs

How is the phrase "go to infinity" used in mathematics?

In mathematics, "go to infinity" describes a process or function approaching an arbitrarily large value, often denoted as ∞. It's used in calculus, limits, and series to explain unbounded behavior. For example, a sequence may "approach infinity" if its terms grow without bound.

What are some alternatives to the phrase "go to infinity"?

Depending on the context, you can use alternatives like "extend without limit", "approach infinity", or "increase without bound". The best choice depends on whether you want to emphasize continuous extension, the directional movement, or unbounded growth.

Can "go to infinity" be used in non-mathematical contexts?

Yes, "go to infinity" can be used metaphorically to describe situations that are limitless or boundless. For instance, you might say someone's potential can "extend without limit". However, ensure the metaphorical usage is clear and effective.

Is there a difference between "going to infinity" and "goes to infinity"?

The difference lies in the grammatical context. "Going to infinity" is a continuous form, often used within a sentence to describe an ongoing process. "Goes to infinity" is a simple present tense form, typically used to describe a general property or behavior. Both are grammatically correct but serve different purposes.