List questions from limits-without-lhopital

Published on 24 Feb 2015 - 6:27

414

Views

How to factorise $x^4 - 3x^3 + 2$, so as to compute the limit of a quotient?

Published on 24 Feb 2015 - 12:11

1.3k

Views

Find the limit of function as $x$ approaches $1$

Published on 24 Feb 2015 - 18:05

94

Views

Limit of trigonometric function with powers

Published on 24 Feb 2015 - 18:13

48

Views

Limit with both cosine and sine

Published on 25 Feb 2015 - 4:58

167

Views

Limit of $a\sin x-\sin 2x$

Published on 25 Feb 2015 - 5:14

98

Views

Limit of the form $0/0$

Published on 25 Feb 2015 - 7:35

2.5k

Views

Limit of $\ln \cos(2x^2-x)$

Published on 25 Feb 2015 - 7:43

1k

Views

Prove that: $\lim\limits_{x \to +\infty}\frac{(\log x)^b}{x^a} = 0$ and $\lim\limits_{x \to +\infty}\frac{x^b}{e^{ax}} = 0$

Published on 25 Feb 2015 - 14:18

317

Views

Can we always exploit Taylor's approximation in order to avoid using l'Hopital rule?

Published on 25 Feb 2015 - 19:04

179

Views

Evaluate the limit in $p$ and $q$

Published on 26 Feb 2015 - 4:50

64

Views

Limit of an infinite sequence

Published on 26 Feb 2015 - 4:55

788

Views

Long limit question

Published on 26 Feb 2015 - 7:38

81

Views

Limit of $\left(\frac{\ln x}{x}\right)^\frac{1}{x}$

Published on 26 Feb 2015 - 17:20

64

Views

How do I solve $\lim_{x\rightarrow1}\frac{x+3x^2+5x^3+\cdots+(2n-1)x^n-n^2}{(x-1)}$ in a simple way?

Published on 27 Feb 2015 - 2:57

List Question

Limit of an unknown cubic expression

How to factorise $x^4 - 3x^3 + 2$, so as to compute the limit of a quotient?

Find the limit of function as $x$ approaches $1$

Limit of trigonometric function with powers

Limit with both cosine and sine

Limit of $a\sin x-\sin 2x$

Limit of the form $0/0$

Limit of $\ln \cos(2x^2-x)$

Prove that: $\lim\limits_{x \to +\infty}\frac{(\log x)^b}{x^a} = 0$ and $\lim\limits_{x \to +\infty}\frac{x^b}{e^{ax}} = 0$

Can we always exploit Taylor's approximation in order to avoid using l'Hopital rule?

Evaluate the limit in $p$ and $q$

Limit of an infinite sequence

Long limit question

Limit of $\left(\frac{\ln x}{x}\right)^\frac{1}{x}$

How do I solve $\lim_{x\rightarrow1}\frac{x+3x^2+5x^3+\cdots+(2n-1)x^n-n^2}{(x-1)}$ in a simple way?

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