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Popular >

limit as x approaches 0 of xsin(1/(x^2))

Solution

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

Solution

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

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\int \frac{1}{x ^{2} 25 + x ^{2}} d x

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\frac{d}{d x} (sin^{2} (x) - sin (x^{2}))

simplify 5sqrt(t^3)simplify

5 t^{3}

Frequently Asked Questions (FAQ)

What is the limit as x approaches 0 of xsin(1/(x^2)) ?
The limit as x approaches 0 of xsin(1/(x^2)) is 0