Question

If $\lim\limits_{x\to c} f(x)=L$, $\lim\limits_{x\to c} g(x)=M$, and $g(x)\geq f(x)$ for all $x\in\mathbb{R}$, then $M\geq L$.

score 171 · Answer 1 · 2026-04-17 07:19:12

171

Views

If $\lim\limits_{x\to c} f(x)=L$, $\lim\limits_{x\to c} g(x)=M$, and $g(x)\geq f(x)$ for all $x\in\mathbb{R}$, then $M\geq L$.

Published on 17 Apr 2026 - 7:19

score 181 · Answer 2 · 2026-04-16 10:28:11

181

Views

Evaluate $\lim_{x \to 4} \frac{x^4-4^x}{x-4}$, where is my mistake?

Published on 16 Apr 2026 - 10:28

score 617 · Answer 3 · 2026-04-14 02:22:24

617

Views

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score 37 · Answer 4 · 2026-05-14 19:03:49

37

Views

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score 83 · Answer 5 · 2026-04-13 17:25:06

83

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score 202 · Answer 6 · 2026-04-16 17:15:50

202

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$\epsilon - \delta$ proof of the limit $\lim_{x\to1}\frac{1}{x-\frac{3}{2}}=-2$.

Published on 16 Apr 2026 - 17:15

score 104 · Answer 7 · 2026-04-13 23:49:32

104

Views

How to calculate the limit of $\sqrt{4 x^2 - x} + 2 x$ as $x$ approaches $-\infty$?

Published on 13 Apr 2026 - 23:49

score 1.3k · Answer 8 · 2026-04-13 17:07:05

1.3k

Views

Poles of $f(z)=\frac{\sin(\frac{\pi z}{2})}{\sin(\pi z)}$

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score 50 · Answer 9 · 2026-04-14 17:01:17

50

Views

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Published on 14 Apr 2026 - 17:01

score 88 · Answer 10 · 2026-04-13 03:26:24

88

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Published on 13 Apr 2026 - 3:26

score 214 · Answer 11 · 2026-04-16 06:47:36

214

Views

How to find the Value of the Limit $ \lim _{x\to 0}\left(\dfrac{\sin\alpha x-\sin\beta x}{e^{\alpha x}-e^{\beta x}}\right)$

Published on 16 Apr 2026 - 6:47

score 50 · Answer 12 · 2026-04-14 09:03:11

50

Views

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Published on 14 Apr 2026 - 9:03

score 1k · Answer 13 · 2026-04-13 02:50:22

1k

Views

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Published on 13 Apr 2026 - 2:50

score 46 · Answer 14 · 2026-05-05 03:30:01

46

Views

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Published on 05 May 2026 - 3:30

score 600 · Answer 15 · 2026-04-11 23:20:39

600

Views

Finding $\lim_{x \to 0} \sin x/\sin(7x)$ without l'Hopital's Rule

Published on 11 Apr 2026 - 23:20

List Question

If $\lim\limits_{x\to c} f(x)=L$, $\lim\limits_{x\to c} g(x)=M$, and $g(x)\geq f(x)$ for all $x\in\mathbb{R}$, then $M\geq L$.

Evaluate $\lim_{x \to 4} \frac{x^4-4^x}{x-4}$, where is my mistake?

Inequality on the exponential function

Calculus III Limits of Continuity - Nonexistence of limits.

Find the limit of a rational function with a power

$\epsilon - \delta$ proof of the limit $\lim_{x\to1}\frac{1}{x-\frac{3}{2}}=-2$.

How to calculate the limit of $\sqrt{4 x^2 - x} + 2 x$ as $x$ approaches $-\infty$?

Poles of $f(z)=\frac{\sin(\frac{\pi z}{2})}{\sin(\pi z)}$

Showing a certain limit or an upper bound of it goes to zero

Finding value of infinite series limit

How to find the Value of the Limit $ \lim _{x\to 0}\left(\dfrac{\sin\alpha x-\sin\beta x}{e^{\alpha x}-e^{\beta x}}\right)$

Prove $f(x)$ can reach its minimum value over $(a,+\infty).$

Why isn't the limit in the derivative's definition always equal to zero?

Compute the integral involving a bounded measurable function.

Finding $\lim_{x \to 0} \sin x/\sin(7x)$ without l'Hopital's Rule

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