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

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

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

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

\int x y e^{x + y} d x

\frac{d}{d x} (\frac{( a x + b y ( x ) )}{( c x + d y )})

(x^{2} - 2) (x^{3} - 3 x)

\int \frac{tan ( 3 x )}{cos ( 3 x )} d x

5 y^{^{''}} + y^{^{'}} = - 10 x, y (0) = 0, y^{^{'}} (0) = - 15

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