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

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

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

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

x \to 2 lim (2 f (x) - 3 g (x))

x \to 1 lim (\frac{4}{x + 1})

x \to 0 lim (cos^{\frac{1}{x}} (3 x))

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

x \to 0 + lim (3 x ln (\frac{1}{x}))

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