What is the limit of x (cos(1//x)) as x approaches infinity?

phasiwedi98z

phasiwedi98z

Answered question

2023-02-06

What is the limit of x ( cos ( 1 x ) ) as x approaches infinity?

Answer & Explanation

greishava9g6

greishava9g6

Beginner2023-02-07Added 2 answers

As x increases without bound, 1 x 0 .
The cosine function is continuous at 0, thus
lim x cos ( 1 x ) = cos 0 = 1
We can conclude that, as x increases without bound, x cos ( 1 x ) also increases without bound.
Hence, lim x x ( cos ( 1 x ) ) =

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