What is the limit as x approaches 0 of x*cos(7/x) ?

The limit as x approaches 0 of x*cos(7/x) is 0

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limit as x approaches 0 of x*cos(7/x)

x \to 0 lim (x \cdot cos (\frac{7}{x}))

0

Solution steps

x \to 0 lim (x cos (\frac{7}{x}))

Apply the Squeeze Theorem:

0

= 0

y^{^{'}} = \frac{x}{y} + \frac{2 y}{x}

\int \frac{1}{4 x ^{2} + 25} d x

\int e^{- r^{2}} r d r

\int_{0}^{\frac{π}{8}} 3 cos^{5} (4 x) d x

n = 0 \sum \infty \frac{x ^{2 n}}{2 n !}

What is the limit as x approaches 0 of x*cos(7/x) ?
The limit as x approaches 0 of x*cos(7/x) is 0