Limitless 7

Calculus Level 2

Does x 2 sin ⁡ ( x ) x 5 \dfrac{x^2\sin(\sqrt{x})}{\sqrt[5]{x}} diverge as x → ∞ x \rightarrow \infty ?

No Yes

A Former Brilliant Member by A Former Brilliant Member

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

L = lim ⁡ x → ∞ x 2 sin ⁡ x x 5 = lim ⁡ x → ∞ x 9 5 sin ⁡ x \begin{aligned} L & = \lim_{x \to \infty} \frac {x^2\sin \sqrt x}{\sqrt[5]x} = \lim_{x \to \infty} x^\frac 95 \sin \sqrt x \end{aligned} does not have a unique value. Yes , it diverges.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...