List questions from limits-without-lhopital

Published on 17 Feb 2024 - 19:08

268

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Solving a limit without using L'Hôpital's rule

Published on 23 Feb 2024 - 13:34

112

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Standard limits giving wrong answers.

Published on 24 Feb 2024 - 23:00

73

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What is $\lim_{x\to 0} (1+x)e^{-\left(\frac{1}{|x|} + \frac{1}{x}\right)}$

Published on 02 Mar 2024 - 7:19

40

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Can't figure out multivariable limit of $\frac{x^3-x^2y}{x^2+y^6}$ with polar coordinate sub.

Published on 07 Mar 2024 - 0:10

53

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Limit as $x$ $\to$ $\infty$ of $x\left(1+\frac1x\right)^x-kx^2\ln\left(1+\frac1x\right)$

Published on 17 Mar 2024 - 5:22

100

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How to compute $\lim_{x\to \infty} x(a^{\frac{1}{x}}-1)$?

Published on 17 Mar 2024 - 7:59

104

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How to compute $\lim_{x\to 0} \frac{e^{ax}-e^{bx}}{x}$?

Published on 19 Mar 2024 - 3:25

82

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Is this a correct approach to calculating $\lim_{n\rightarrow \infty} {\sqrt[n]{\ln(n)}}$?

Published on 24 Mar 2024 - 6:37

109

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Proving $\lim_{x\to\infty}xa^{x}=0$ in Elementary Ways

Published on 25 Mar 2024 - 13:39

55

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Can we use Binomial Approximations when evaluating limits?

Published on 01 Apr 2026 - 20:32

71

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The limit of $f(x) = \frac{1}{x^2 + 5x - 24}$ at $x=4$

Published on 01 Apr 2026 - 20:50

94

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Calculate this limit by first principles

Published on 28 Mar 2024 - 1:31

92

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Evaluate $\lim\limits_{x \to 0} \frac{\sin(ax) + bx}{\sin(bx)+ax}$ without using L'Hôpital's rule

Published on 29 Mar 2024 - 22:48

28

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How to solve this limit with e power in both numerator and denominator?

Published on 31 Mar 2024 - 6:14

List Question

Confusion about Limits (Rationals)

Solving a limit without using L'Hôpital's rule

Standard limits giving wrong answers.

What is $\lim_{x\to 0} (1+x)e^{-\left(\frac{1}{|x|} + \frac{1}{x}\right)}$

Can't figure out multivariable limit of $\frac{x^3-x^2y}{x^2+y^6}$ with polar coordinate sub.

Limit as $x$ $\to$ $\infty$ of $x\left(1+\frac1x\right)^x-kx^2\ln\left(1+\frac1x\right)$

How to compute $\lim_{x\to \infty} x(a^{\frac{1}{x}}-1)$?

How to compute $\lim_{x\to 0} \frac{e^{ax}-e^{bx}}{x}$?

Is this a correct approach to calculating $\lim_{n\rightarrow \infty} {\sqrt[n]{\ln(n)}}$?

Proving $\lim_{x\to\infty}xa^{x}=0$ in Elementary Ways

Can we use Binomial Approximations when evaluating limits?

The limit of $f(x) = \frac{1}{x^2 + 5x - 24}$ at $x=4$

Calculate this limit by first principles

Evaluate $\lim\limits_{x \to 0} \frac{\sin(ax) + bx}{\sin(bx)+ax}$ without using L'Hôpital's rule

How to solve this limit with e power in both numerator and denominator?

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