New posts in Limits

Is $\infty$ the solution to ${x}^{{x}^{{x}^{{x}^{x\dots}}}} = i$?

Find $\lim_{n \to \infty}\frac1{\ln^2n}\left( \frac{\ln 2}{2} + \frac{\ln 3}{3} +\cdots + \frac{\ln n}{n}\right)$

Study the sequence $x_n=\sqrt[n]{2^{n\sin 1}+2^{n\sin 2}+\cdots+2^{n\sin n}}$.

Is it acceptable to say that a divergent series that tends to infinity is 'equal to' infinity?

Finding $\lim_{n\to\infty}{\frac{n}{a^{n+1}}\left(a+\frac{a^2}{2}+\frac{a^3}{3}+\cdots+\frac{a^n}{n}\right)}$ where $a>1$

If $a_n \to z$, then does $\frac{{n \choose 1} a_1 + {n \choose 2} a_2 \dots {n \choose n} a_n}{2^n} \to z$?

Evaluate $\lim \limits_{x \to -1^+} (x+1)^{\frac{1}{x+1}}$

Proof of Monotone convergence theorem.

Is 0 divided by a non-zero indeterminate equal to 0.

Riemann sum of $\int_1^2 {1\over x^2} dx$.