Limits and Continuity Explained: Expert Help

Recent questions in Limits and continuity

Dominique Pace 2022-04-03

Evaluating a limit, $lim_{t \to 0^{+}} \sum_{n = 1}^{\infty} \frac{\sqrt{t}}{1 + t n^{2}}$

ezpimpin6988ok1n 2022-04-03

Evaluating
$\sum_{n = 1}^{\infty} \frac{2^{2 n - 1}}{5^{n + 1}}$

Kendall Daniels 2022-04-02

Evaluating trigonometric limit $\csc^{2} (2 x) - \frac{1}{4 x^{2}}$

Samara Richard 2022-04-01

I need help calculating this limit:
$lim_{x \to π} \frac{\cos 2 x + 2 (π - x) \sin x - 1}{{(\cos 2 x + \cos x)}^{2}}$
I tried to use L'Hospital's rule, but didn't get any result. Can you help me please?

afasiask7xg 2022-04-01

I am trying to find this limit but I failed.
$lim_{x \to \infty} (2 \arctan x - π) \ln x$

Guadalupe Glass 2022-03-31

I have to compute this limit:
$lim_{x \to \infty} 3 (\sqrt{x} \sqrt{x - 3} - x + 2)$

ideklaraz7xz 2022-03-31

Evaluate the following limits.
$lim_{(x, y, z) \to (0, 1, 0)} \ln (1 + y) e^{x z}$

Anahi Solomon 2022-03-31

Find the limit.
$lim_{x \to 0^{+}} \frac{\sqrt{x}}{\sqrt{\sin x}}$

Jaylin Clements 2022-03-31

$lim_{x \to 0} (\frac{1}{1 - \cos x} - \frac{2}{x^{2}})$

abitinomaq1 2022-03-30

I can think of a number of ways to prove that $lim_{n \to \infty} (4^{n} - n^{4}) = \infty$

encaderpwp 2022-03-30

Evaluate the following limits.
$lim_{(x, y, z) \to (1, 1, 1)} \frac{x^{2} + x y - x z - y z}{x - z}$

palmantkf4u 2022-03-30

Evaluate the following limits.
$lim_{(x, y, z) \to (1, 1, 1)} \frac{x - \sqrt{x z} - \sqrt{x y} + \sqrt{y z}}{x - \sqrt{x z} + \sqrt{x y} - \sqrt{y z}}$

Reuben Brennan 2022-03-30

Evaluate the following limits.
$lim_{n \to \infty} n^{2} \ln (n \sin \frac{1}{n})$

Aryan Salinas 2022-03-29

I found such problem while I was studying to my exam:
$lim_{x \to \infty} {\frac{\int_{x^{2}}^{3 x^{2}} {t \cdot \sin {\frac{2}{t}} d t}}{x^{2}}}$

Beryneingmk39 2022-03-29

How would you find this limit ?
$lim_{n \to \infty} {(1 + \ln (1 - \frac{1}{2 n}))}^{n}$

limes14514qqmn 2022-03-29

How would you evaluate the following limit:
$lim_{x \to \infty} \sqrt[6]{x^{6} + x^{5}} - \sqrt[6]{x^{6} - x^{5}}$

palmantkf4u 2022-03-29

Use L'Hospital Rule to evaluate the following limits.
$lim_{x \to 0} \frac{{tanh}^{- 1} x}{\tan (π \frac{x}{2})}$

Jaylin Clements 2022-03-29

how to solve this limit $lim_{θ \to 0} \frac{\tan (5 θ)}{\tan (10 θ)}$

ICESSRAIPCELOtblt 2022-03-29

Find the limits:
$lim_{x \to - 2} \frac{x + 2}{\sqrt{x^{2} + 5} - 3}$

calcolare45pj 2022-03-28

Find the limits:
$lim_{x \to 2} \frac{\sqrt{x^{2} + 12} - 4}{x - 2}$

Limits and continuity help should be approached by turning to arguments and variations of the value. These are always used by engineers and designers, which is why limits and continuity of multiple choice questions can become a nightmare. Things are not that complex in reality. Just see the answers below as there are great solutions that will help you learn. Focus on limits and continuity exercises with answers by taking a look at the questions to compare the analytical part. These samples contained both short and detailed continuity questions and answers, which is why you must depend on your instructions.

Calculus 1

Limits and Continuity Questions and Answers