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

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

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

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

0

Solution steps

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

Apply the Squeeze Theorem:

0

= 0

n \to \infty lim (1 + nb)

x \to 1 lim (x^{4} - x^{2} + x - 2)

x \to 0 lim (\frac{( ln ( x + 1 ) )}{x})

x \to 1 lim (\frac{I n x}{x ^{2} - 1})

x \to 5 lim (x^{2} - 3 x + 4)

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