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"diverges to" is a correct and usable phrase in written English.
It is typically used in mathematical or scientific contexts to describe a function or sequence that goes to a different value or becomes increasingly different from a starting point. Example: The graph of the function f(x) diverges to infinity as x approaches 0.
Exact(57)
(In contrast, the sum of the reciprocals of the primes diverges to infinity).
If everything is in synch, I can be motoring up the highway among lanes of cars and trucks (the turnpike is busy at any hour) with the freight-train tracks on the right and all the earthbound vectors lining up as an incoming jet roars overhead, outdistances everybody, diverges to the left, and sets down on a shimmery runway.
Then for each positive solution, one of the subsequences,,, diverges to infinity and the other to a positive number or diverges to infinity.
Hence, for each positive solution of (1.1),, one of the subsequences,,, diverges to infinity and the other to a positive number or diverges to infinity.
Let {s n } is a positive real sequence which diverges to + ∞.
Therefore, (pi _2(f_{n} z,w'))) diverges to infinity as (nrightarrow infty).
Hence, ({phi _{n_k}}) diverges to infinity uniformly on compact subsets of (Omega).
We show that the two cylinders are repelled from each other, with a force that diverges to infinity at impact.
Similar(3)
Soaring optimism could quickly diverge to stomach-churning fear.
Theise et al. observed that the canals of Hering potentially diverge to hepatocytes and cholangiocytes [3].
In (12), G x (f ) can contain zeros that would make H(f ) diverge to infinity.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com