What is the limit as x approaches 0 of 1/x cos(1/x) ?

The limit as x approaches 0 of 1/x cos(1/x) is diverges

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limit as x approaches 0 of 1/x cos(1/x)

x \to 0 lim (\frac{1}{x} cos (\frac{1}{x}))

diverges

Solution steps

x \to 0 lim (\frac{1}{x} cos (\frac{1}{x}))

Apply Limit Divergence Criterion:

diverges

= diverges

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What is the limit as x approaches 0 of 1/x cos(1/x) ?
The limit as x approaches 0 of 1/x cos(1/x) is diverges