What is the limit as x approaches 0 of x^6cos(4/x) ?

The limit as x approaches 0 of x^6cos(4/x) is 0

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limit as x approaches 0 of x^6cos(4/x)

x \to 0 lim (x^{6} cos (\frac{4}{x}))

0

Solution steps

x \to 0 lim (x^{6} cos (\frac{4}{x}))

Apply the Squeeze Theorem:

0

= 0

\int_{0}^{\frac{π}{4}} 7 tan^{3} (x) d x

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

f (x) = x + 2

x \to - 1 lim (x^{2} - 3 x + 1)

\frac{d}{d x} (\frac{3 x - 1}{( 2 - x ) ^{2}})

What is the limit as x approaches 0 of x^6cos(4/x) ?
The limit as x approaches 0 of x^6cos(4/x) is 0