Limits and Continuity Explained: Expert Help

Recent questions in Limits and continuity

shadsiei 2020-12-16

Find the limit
$lim_{u \to 1} \frac{u^{4} - 1}{u^{3} - 1}$

geduiwelh 2020-12-16

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

vestirme4 2020-12-16

Find the following complex limits. $lim_{n \to \infty} \frac{2 n}{7 n + n i}$

York 2020-12-07

Evaluate the following limits. $lim_{(x, y) \to (1, - 1)} \frac{10 u v - 2 v^{2}}{u^{2} + v^{2}}$

he298c 2020-12-05

Evaluate the limit:
$lim_{x \to \infty} \frac{e^{x}}{x^{4}}$

sjeikdom0 2020-12-05

Evaluate the following limits or determine that they do not exist.
$lim_{(x, y, z) \to (2, 2, 3)} \frac{x^{2} z - 3 x^{2} - y^{2} z + 3 y^{2}}{x z - 3 x - y z + 3 y}$

Amari Flowers 2020-12-05

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

arenceabigns 2020-12-02

Evaluate the limit
$lim_{x \to \infty} \frac{4 x^{3} - 2}{3 x^{4} + 5 x}$

Ramsey 2020-12-01

Evaluate the following limits.
$lim_{x \to 0} \frac{\sin 3 x}{\tan 4 x}$

facas9 2020-11-30

Use L'Hospital Rule to evaluate the following limits.
$lim_{x \to 0} (\tan h x)^{x}$

nagasenaz 2020-11-30

Evaluate the following limit.
$lim_{x \to 0^{+}} (1 + 5 x)^{2 / x}$

tabita57i 2020-11-30

Evaluate the following limits.
$lim_{(x, y, z) \to (1, - 1, 1)} \frac{x z + 5 x + y z + 5 y}{x + y}$

Tyra 2020-11-27

Use the method of your choice to evaluate the following limits.
$lim_{(x, y) \to (0, π / 2)} \frac{1 - \cos x y}{4 x^{2} y^{3}}$

Maiclubk 2020-11-26

Use Taylor series to evaluate the following limits.
$lim_{x \to 0} \frac{\sqrt{1 + 2 x} - 1 - x}{x^{2}}$

Burhan Hopper 2020-11-23

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

cistG 2020-11-23

Evaluate the following limits.
$lim_{θ \to 0} \frac{\sec θ - 1}{θ}$

Maiclubk 2020-11-23

Find the following limits or state that they do not exist. $lim_{w \to 1} \frac{a \cdot 1}{(w^{2} - 2)} - \frac{1}{(w - 1) b}$

texelaare 2020-11-22

Use Taylor series to evaluate the following limits.
$lim_{x \to 4} \frac{\ln (x - 3)}{x^{2} - 16}$

pancha3 2020-11-22

Compute the following limits if they exist $lim_{x \to 0} \frac{\sec x - 1}{x^{3}}$

aortiH 2020-11-16

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

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