What is the limit as x approaches 0 of xcos((15)/x) ?

The limit as x approaches 0 of xcos((15)/x) is 0

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limit as x approaches 0 of xcos((15)/x)

x \to 0 lim (x cos (\frac{15}{x}))

0

Solution steps

x \to 0 lim (x cos (\frac{15}{x}))

Apply the Squeeze Theorem:

0

= 0

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

x \to - \frac{π}{2} lim (- 3 x - \frac{π}{2})

x \to - 1 lim (\frac{x + 5}{x ^{2} - 1})

x \to 2 lim (arcsin (\frac{x}{2}))

x \to - \infty lim (h (x))

What is the limit as x approaches 0 of xcos((15)/x) ?
The limit as x approaches 0 of xcos((15)/x) is 0