New posts in Limits

Limit of $\frac{1}{M} \int_1^M M^{\frac{1}{x}} \textrm{d} x$ when $M \to +\infty$

Does L'Hopital's rule imply that $\lim_{x\to a}\frac{f'(x)}{g'(x)} = \lim_{x\to a}\frac{f(x)}{g(x)}$ always?

What is the Ramanujan summation for the series $\sqrt[n]{2}$

Find the limit of the series $6^n/n!$ as $n$ tends to infinity.

Evaluating $\lim_{x\to0} \frac{\sin(\pi\sqrt{\cos x})} x$

Why using fewer terms of Taylor series doesn't give $0/0$ but gives a wrong answer?

How do you evaluate the limit of this sequence involving n-th roots?

Proving $\lim_{x \to 1}\frac{x+1}{x-2} + x = -1$ using definition

Let $f(x)$ be a polynomial satisfying $\lim_{x\to \infty} \frac {x^4 f(x)}{x^8+1} =3$, $f(2)=5$, $f(3)=10$,$f(-1)=2$,$f(-6)=37$. Find $f(0)$

Understand how to evaluate $\lim _{x\to 2}\frac{\sqrt{6-x}-2}{\sqrt{3-x}-1}$