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

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

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

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

x \to \frac{π}{2} lim (1)

x \to - 6 lim (0)

x \to - \infty lim (x^{2} e^{2})

x \to 1 lim (- (x - 1)^{2})

x \to 0 lim (e^{l n (x)})

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