Sentence examples for as its limit from inspiring English sources

However, 2 can be assigned to the function (x2 − 1)/(x − 1) not as its value when x equals 1 but as its limit when x approaches 1. See analysis: Continuity of functions.

Dewey agrees that "judgment at some point runs against the brute act of holding something dear as its limit" (LJP 46).

Using Becquerel per liter as the concentration unit (a Bq is a disintegration of a single nucleus per second), the United States has set 740 Bq/L for drinking water, but Canada has 7,000 Bq/L as its limit.

Now is when we can spot the flaw in the standard argument against Zeno mentioned in section 2.1, which was grounded on the observation that the sequence of distances covered by Achilles (1/2, 1/2 + 1/4, 1/2 + 1/4 + 1/8, … ) has 1 as its limit.

Numerical simulation experiments have confirmed this invariance, as well as its limits of applicability.

The Blacksburg case suggests just how this process typically works, and highlights its strengths as well as its limits in preventing a crisis.

Yet his insistence on the amaranthine themes has become only more important to me over time as I continue to learn about the abiding value of the rule of law as well as its limits.

Due to the very small size of bacteria (0.5 to 1 μm diameter) and the different labeling procedure, the feasibility of detection as well as its limits had to be assessed.

Subsequently, in [4] a quaternionic Hermitian Cauchy integral is introduced, as well as its boundary limit values, leading to the definition of a matrix quaternionic Hermitian Hilbert transform.

It is the prime obligation of a forensic psychologist to take reasonable precautions to protect the client's confidentiality and must make it clear as or its limits.

Two thousand years ago the Roman empire chose this point as its eastern limit.