What is the limit as x approaches 0 of 2cos(1/x) ?

The limit as x approaches 0 of 2cos(1/x) is diverges

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limit as x approaches 0 of 2cos(1/x)

x \to 0 lim (2 cos (\frac{1}{x}))

diverges

Solution steps

x \to 0 lim (2 cos (\frac{1}{x}))

Apply Limit Divergence Criterion:

diverges

= diverges

t an g e n t y = x^{3}, at x = - 3

d er i v a t i v e y = \frac{x ^{5}}{4 - x ^{4}}

in v erse l a pl a ce \frac{2}{s ( 5 s + 1 )}

d er i v a t i v e e^{- y^{2}}

\int (8) d x

What is the limit as x approaches 0 of 2cos(1/x) ?
The limit as x approaches 0 of 2cos(1/x) is diverges