What is the limit as x approaches 0 of x^2cos(3/x) ?

The limit as x approaches 0 of x^2cos(3/x) is 0

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limit as x approaches 0 of x^2cos(3/x)

x \to 0 lim (x^{2} cos (\frac{3}{x}))

0

Solution steps

x \to 0 lim (x^{2} cos (\frac{3}{x}))

Apply the Squeeze Theorem:

0

= 0

\int x (3 x^{2} + 5)^{3} d x

\int \frac{5 x + 5}{4 x ^{2} + 17 x + 4} d x

\frac{d}{d x} (cos (x) sin (y))

\frac{1}{x ^{2}}, 4

y^{^{'}} = y (x y^{6} + 5)

What is the limit as x approaches 0 of x^2cos(3/x) ?
The limit as x approaches 0 of x^2cos(3/x) is 0