Question

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→0+ (2x + 1)cot(x) Incorrect: Your answer is incorrect.

Answer 1

$\displaystyle\lim_{x\to0^+}(2x+1)\cot x=\lim_{x\to0^+}\frac{2x+1}{\tan x}$

As $x\to0$, the numerator approaches 1 while $\tan x\to0$, but since $x\to0$ from above we have $\tan x>0$, which suggests the limit is $+\infty$.