2 Limits

Calculus Level 4

If \( \large \displaystyle \dfrac 1a = \lim_{x\to 0} \dfrac{\sqrt[x\sin x]{1+x}}{\sqrt[\sin x] e} \), compute \( \displaystyle \lim_{x\to 0} \dfrac{ (a^{2x} - 1)^{1/x}}{x^{1/x}} \).

×

Problem Loading...

Note Loading...

Set Loading...