Question

conceptual doubt in finding $\lim \limits_{x \to \tfrac{\pi}{4}} \frac{4\sqrt 2 -\left ( \cos x + \sin x \right )^5}{1-\sin {2x}}$

score 136 · Answer 1 · 2020-12-23 10:26:52

136

Views

conceptual doubt in finding $\lim \limits_{x \to \tfrac{\pi}{4}} \frac{4\sqrt 2 -\left ( \cos x + \sin x \right )^5}{1-\sin {2x}}$

Published on 23 Dec 2020 - 10:26

score 775 · Answer 2 · 2020-12-23 14:38:50

775

Views

Does the limit exist if a function approaches a limit where it is discontinuous??

Published on 23 Dec 2020 - 14:38

score 141 · Answer 3 · 2020-12-23 15:52:10

141

Views

Two limits without L’Hopital

Published on 23 Dec 2020 - 15:52

score 34 · Answer 4 · 2020-12-23 16:05:48

34

Views

Arguing properties of trigonometric function with floor

Published on 23 Dec 2020 - 16:05

score 49 · Answer 5 · 2020-12-24 12:45:49

49

Views

What's the $\lim\limits_{x \to 1} \frac{1+e^\frac{1}{x-1}}{1-e^\frac{1}{x-1}}$

Published on 24 Dec 2020 - 12:45

score 65 · Answer 6 · 2020-12-25 06:08:37

65

Views

Solving $\lim_{x \to 0}\frac{x+ x\cos(x)}{\sin(x)\cos(x)} $ without L'Hopitals

Published on 25 Dec 2020 - 6:08

score 149 · Answer 7 · 2026-03-30 08:13:47

149

Views

$\lim_{x→0^+} \frac{\sin(6x)}{\sqrt{\sin(2x)}}$

Published on 30 Mar 2026 - 8:13

score 74 · Answer 8 · 2020-12-29 15:52:37

74

Views

Continuity and Intermediate Value Theorem.

Published on 29 Dec 2020 - 15:52

score 99 · Answer 9 · 2020-12-29 19:10:21

99

Views

Find $\lim_{t \rightarrow 0} \int_{0}^{t} \frac{\sqrt{1+\sin(x^2)}}{\sin t} dx$

Published on 29 Dec 2020 - 19:10

score 118 · Answer 10 · 2020-12-30 07:16:56

118

Views

Evaluating $\lim_{x \to 0} \dfrac{\arctan x}{x}$

Published on 30 Dec 2020 - 7:16

score 92 · Answer 11 · 2020-12-31 09:45:34

92

Views

Proof Check: $ \lim_{x \rightarrow 0} \frac{x-\sin x}{x^2} $

Published on 31 Dec 2020 - 9:45

score 102 · Answer 12 · 2020-12-31 14:10:09

102

Views

Elementary example for the indeterminate form $1^\infty$

Published on 31 Dec 2020 - 14:10

score 106 · Answer 13 · 2021-01-01 11:38:54

106

Views

Calculating the value of $f'(x)$ if it exists.

Published on 01 Jan 2021 - 11:38

score 51 · Answer 14 · 2021-01-02 15:00:34

51

Views

Are all limits 'computable' by L'Hôpital's Rule solvable by clever algebraic,exponential, logarithmic and trignometric manipulations?

Published on 02 Jan 2021 - 15:00

score 72 · Answer 15 · 2021-01-02 17:19:36

72

Views

Evaluate $\lim_{x\to 0} \frac{\log(x^2)}{1/x}$

Published on 02 Jan 2021 - 17:19

List Question

conceptual doubt in finding $\lim \limits_{x \to \tfrac{\pi}{4}} \frac{4\sqrt 2 -\left ( \cos x + \sin x \right )^5}{1-\sin {2x}}$

Does the limit exist if a function approaches a limit where it is discontinuous??

Two limits without L’Hopital

Arguing properties of trigonometric function with floor

What's the $\lim\limits_{x \to 1} \frac{1+e^\frac{1}{x-1}}{1-e^\frac{1}{x-1}}$

Solving $\lim_{x \to 0}\frac{x+ x\cos(x)}{\sin(x)\cos(x)} $ without L'Hopitals

$\lim_{x→0^+} \frac{\sin(6x)}{\sqrt{\sin(2x)}}$

Continuity and Intermediate Value Theorem.

Find $\lim_{t \rightarrow 0} \int_{0}^{t} \frac{\sqrt{1+\sin(x^2)}}{\sin t} dx$

Evaluating $\lim_{x \to 0} \dfrac{\arctan x}{x}$

Proof Check: $ \lim_{x \rightarrow 0} \frac{x-\sin x}{x^2} $

Elementary example for the indeterminate form $1^\infty$

Calculating the value of $f'(x)$ if it exists.

Are all limits 'computable' by L'Hôpital's Rule solvable by clever algebraic,exponential, logarithmic and trignometric manipulations?

Evaluate $\lim_{x\to 0} \frac{\log(x^2)}{1/x}$

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