Computing $\lim_{x\to0} \frac 8 {x^8} \left[ 1 - \cos\frac{x^2} 2 - \cos\frac{x^2}4 + \cos\frac{x^2}2\cos\frac{x^2}4 \right]$ without using L'Hospital

score 144 · Answer 6 · 2016-12-22 16:12:31

144

Views

Why the limit is $\frac{x}{1+x}$ and not 1

Published on 22 Dec 2016 - 16:12

score 164 · Answer 7 · 2016-12-22 17:50:18

164

Views

How can I do this problem without using L'Hopital's rule or power series?

Published on 22 Dec 2016 - 17:50

score 879 · Answer 8 · 2026-03-31 05:24:03

879

Views

Solve a limit without L'Hopital: $ \lim_{x\to0} \frac{\ln(\cos5x)}{\ln(\cos7x)}$

Published on 31 Mar 2026 - 5:24

score 167 · Answer 9 · 2016-12-26 02:26:10

167

Views

Is this proof of limit of $f(x,y)$ correct?

Published on 26 Dec 2016 - 2:26

score 989 · Answer 10 · 2016-12-26 13:54:54

989

Views

Calculate the limit $\lim_{x\to 0}\frac{\arcsin(2x)}{\ln⁡(e-2x)-1}$ without using L'Hôpital's rule

Published on 26 Dec 2016 - 13:54

score 125 · Answer 11 · 2016-12-26 16:43:26

125

Views

Limit $\lim_{x\to 0} \frac{-\frac{2x}{e}}{\ln(1+(-\frac{2x}{e}))}$

Published on 26 Dec 2016 - 16:43

score 144 · Answer 12 · 2016-12-26 19:32:00

144

Views

Calculate limit $\lim_{x \to 2} \frac{(2^x)-4}{\sin(\pi x)}$ without L'Hopital's rule

Published on 26 Dec 2016 - 19:32

score 116 · Answer 13 · 2016-12-29 18:29:44

116

Views

Solve limit $\lim_{x \rightarrow 0}\frac{x^{2}\ln\left(1+2x\right)}{2\sin\left(x\right)\left[ \cos\left(3x\right)-1\right]} $ without L'Hopital

Published on 29 Dec 2016 - 18:29

score 170 · Answer 14 · 2016-12-30 09:31:05

170

Views

Help finding the limit of trigonometric $(\cos(7x))^\frac{1}{x^2}$ without l'Hospital

Published on 30 Dec 2016 - 9:31

score 49 · Answer 15 · 2016-12-31 00:40:17

49

Views

Prove a bivariate function has a continuous extension

Published on 31 Dec 2016 - 0:40

List Question

How can we compute $\lim_{x\rightarrow 0}\frac{\sin (x)-x+x^3}{x^3}$ and $\lim_{x\rightarrow 0}\frac{e^x-\sin (x)-1}{x^2}$?

Limit without L'Hopital or infinite series

Find $\lim_{x \to 0} \frac{e^{2x}-1}{\tan x}$

Discuss $\lim_{x \to 0} \frac {(\sin{3x})^a \ln{\cos{x}}}{\sqrt{a^2+x}-|a|}$ according to the variation of $a$, without Hopital

Computing $\lim_{x\to0} \frac 8 {x^8} \left[ 1 - \cos\frac{x^2} 2 - \cos\frac{x^2}4 + \cos\frac{x^2}2\cos\frac{x^2}4 \right]$ without using L'Hospital

Why the limit is $\frac{x}{1+x}$ and not 1

How can I do this problem without using L'Hopital's rule or power series?

Solve a limit without L'Hopital: $ \lim_{x\to0} \frac{\ln(\cos5x)}{\ln(\cos7x)}$

Is this proof of limit of $f(x,y)$ correct?

Calculate the limit $\lim_{x\to 0}\frac{\arcsin(2x)}{\ln⁡(e-2x)-1}$ without using L'Hôpital's rule

Limit $\lim_{x\to 0} \frac{-\frac{2x}{e}}{\ln(1+(-\frac{2x}{e}))}$

Calculate limit $\lim_{x \to 2} \frac{(2^x)-4}{\sin(\pi x)}$ without L'Hopital's rule

Solve limit $\lim_{x \rightarrow 0}\frac{x^{2}\ln\left(1+2x\right)}{2\sin\left(x\right)\left[ \cos\left(3x\right)-1\right]} $ without L'Hopital

Help finding the limit of trigonometric $(\cos(7x))^\frac{1}{x^2}$ without l'Hospital

Prove a bivariate function has a continuous extension

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