List questions from limits-without-lhopital | MathQA

Does the limit rule $\lim_{x \rightarrow 0}\frac{\sin x}{x}=1$ apply to $\lim_{x \rightarrow \pi}\frac{\sin\left(x-\pi\right)}{\left(x-\pi\right)}=1$?

Published on 05 Aug 2018 - 4:27

Prove $\lim_{(x,y) \to (0,0)} \frac{\exp(xy)\cdot xy\cdot(x^2-y^2)}{x^2+y^2} =0$.

Published on 08 Aug 2018 - 18:21

Find, from first principles, the derivative of $\log(\sec(x^2))$

Published on 11 Aug 2018 - 12:44

How do you solve $\lim_{n\to \infty}{n[(1+\frac{c}{n})^{n}-(1-\frac{c}{n})^{-n}]}$ without L’Hopital's Rule?

Published on 12 Aug 2018 - 21:12

Evaluate $\lim_{n \to \infty} ((15)^n +([(1+0.0001)^{10000}])^n)^{\frac{1}{n}}$

Published on 13 Aug 2018 - 16:48

Find the limit of $\lim_{ x\to 0 } \sin^{-1}(x) /\sin(3x)$ without using L'Hopital's rule

Published on 16 Aug 2018 - 9:17

Evaluate $ \lim _{x \to 0} \left[{\frac{x^2}{\sin x \tan x}} \right]$ where $[\cdot]$ denotes the greatest integer function.

Published on 17 Aug 2018 - 6:16

Proof by $\epsilon-\delta$ definition $\lim_{x \to 0} \frac{e^x \cos x - 1}{x} = 1$

Published on 19 Aug 2018 - 8:27

Find $\lim_{x \to 0 }\frac{(1+x)^{(1/2)} -1}{(1+x)^{(1/3)} -1}$

Published on 20 Aug 2018 - 4:59

Evaluate $\lim _{x \to 0} [2x^{-3}(\sin^{-1}x - \tan^{-1}x )]^{2x^{-2}}$=?

Published on 21 Aug 2018 - 15:07

If $f(x) =\frac{1}{3} ( \frac {5}{f(x+2)}+f(x+1))$ then $\underset{x \to \infty}{\lim}f(x) = ?$

Published on 21 Aug 2018 - 16:10

Understanding The Squeeze Theorem

Published on 23 Aug 2018 - 11:52

Limit of $\lim\limits_{x \rightarrow \infty}{(x-\sqrt \frac{x^3+x}{x+1})}$ - calculation correct?

Published on 27 Aug 2018 - 1:55

On Infinite Limits

Published on 28 Aug 2018 - 5:10

On "Proving' Infinite Limits, And A Counterexample

Published on 28 Aug 2018 - 12:56