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

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

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limit as x approaches 0 of x^6sin(6/x)

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

\frac{d y}{d t} = cos (t)

\frac{d}{d x} (ln (1 + ln (x)))

\int (\frac{1}{x \cdot ( 5 - x )}) d x

(1 + x)^{n}

\int tan (3 x) sec^{2} (3 x) d x

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