What is the limit as x approaches 0 of x^n*cos(3/x) ?

The limit as x approaches 0 of x^n*cos(3/x) is 0

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limit as x approaches 0 of x^n*cos(3/x)

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

\int \frac{4 - 9 x}{x} d x

y = \frac{x ^{2}}{1 + x}

x \to 0 lim (\frac{2 x}{x ^{2} + 1})

\int (\frac{sin ( x )}{x}) d x

\frac{\partial}{\partial x} (2 x - 3 yz)

What is the limit as x approaches 0 of x^n*cos(3/x) ?
The limit as x approaches 0 of x^n*cos(3/x) is 0