New posts in Limits

Find $\lim\limits_{n \to \infty} \int_0^1 f_n(x) \, dx$ with $f_0(x) = x$ and $f_{n+1}(x) = \sin (\pi f_n(x))$

Equality of limits or counterexample

Student claims $\lim_{x \to 0^+} \lim_{h \to 0} \frac{f(x+h)-f(x)}{h} = \lim_{h \to 0} \lim_{x \to 0^+} \frac{f(x+h)-f(x)}{h}$. Is it justified?

Why don't I get the correct limit of a sequence, regardless of how I arrange it (the sequence), while following the rules for solving limits?

Finding $\displaystyle \lim_{x \to 2}\frac{\sqrt{x^3+1}-\sqrt{4x+1}}{\sqrt{x^3-2x}-\sqrt{x+2}}$

Evaluating $ \lim_{x\to \infty} x \left({{\left(\frac{x}{x+1}\right)}^{x}-\frac{1}{e}}\right)$

Is $\infty^\infty$ indeterminate?

If $\lim A_n$ exists, then $P(\lim A_n) = \lim P(A_n)$

Limit of function $f(x) = \sqrt{(xa + d)^2 + x^2 b^2} - \sqrt{(xa - d)^2 + x^2 b^2}$

$\lim_{n\to \infty} n^3(\frac{3}{4})^n$