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

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

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limit as x approaches 0 of x^4sin(4/x)

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

in v erse l a pl a ce \frac{1 + 4 s}{s ( 2 s ^{2} + 2 s + 1 )}

x \to 1 lim (\frac{x ^{5} - 1}{x - 1})

\frac{d}{d x} (sin (\frac{π x}{4}))

t a y l or \frac{1}{x}, 1

d er i v a t i v e 6 sin (4 x)

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