Limits and Continuity Explained: Expert Help

Recent questions in Limits and continuity

Rivka Thorpe 2021-02-19

Evaluate the following limits.
$lim_{x \to 0} \frac{\tan 7 x}{\sin x}$

Emeli Hagan 2021-02-18

Evaluate the following limits.
$lim_{x \to - 3} \frac{\sin (x + 3)}{x^{2} + 8 x + 15}$

FizeauV 2021-02-15

Find the limits
$lim_{x \to 0} \frac{\sin x}{2 x^{2} - x}$

snowlovelydayM 2021-02-12

Find the following limit.
$lim_{x \to + \infty} (\frac{3 - 12 x}{3 x + 5} + \csc \frac{π x + π}{4 x})$

Tyra 2021-02-11

Find the limits. $lim_{x \to 3 \sqrt{2}} (\frac{x}{2} - \frac{1}{x})$

amanf 2021-02-09

Evaluate the following limits. $lim_{x \to \infty} (3 \cdot 2^{1 - x} + x^{2} \cdot 2^{1 - x})$

he298c 2021-02-09

Use the method of your choice to evaluate the following limits.
$lim_{(x, y) \to (1, 0)} \frac{\sin x y}{x y}$

Khaleesi Herbert 2021-02-08

Find the limits.
$lim_{x \to \infty} \frac{e^{x^{2}}}{x e^{x}}$

Zoe Oneal 2021-02-05

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

CMIIh 2021-02-04

Find the limit:
$lim_{t \to \infty} e^{3 t} \sin^{- 1} \frac{1}{t}$

texelaare 2021-02-03

Find the following complex limits. $lim_{n \to \infty} \frac{1}{3 + n i}$

nitraiddQ 2021-02-03

A piecewise function is given. Use properties of limits to find the shown indicated limit, or state that the limit does not exist. $f (x) = {\begin{cases} \sqrt[3]{x^{2} + 7} & if & x < 1 \\ 4 x & if & x \geq 1 \end{cases}$
$lim_{x \to 1} f (x)$

Yulia 2021-02-02

Find the following complex limits. $lim_{n \to \infty} \frac{6 n}{2 n - n^{2} i}$

banganX 2021-02-01

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

Emily-Jane Bray 2021-02-01

Find the limits. Write $\infty o r - \infty$ where appropriate.
$lim_{x \to 2^{-}} \frac{x^{2} - 3 x + 2}{x^{3} - 2 x^{2}}$

Chaya Galloway 2021-02-01

Find the limit
$lim_{b \to 1^{-}} \int_{0}^{b} \frac{d x}{\sqrt{1 - x^{2}}}$

Trent Carpenter 2021-01-31

Use Taylor series to evaluate the following limits.
$lim_{x \to 0} \frac{\sec x - \cos x - x^{2}}{x^{4}} (H i n t : The Maclaurin series for sec x is 1 + \frac{x^{2}}{2} + \frac{5 x^{4}}{24} + \frac{61 x^{6}}{720} + . . .)$

Ava-May Nelson 2021-01-31

Find the limits. Write $\infty$ or $- \infty$ where appropriate. $lim_{x \to 0^{-}} \frac{x^{2} - 3 x + 2}{x^{3} - 4 x}$

sanuluy 2021-01-30

Evaluate the following limits: $lim_{y \to 0} \frac{1 - \cos (7 y)}{2 y}$

Globokim8 2021-01-27

Find the limit.
$lim_{x \to (π / 2)} \frac{\sec x}{\tan x}$

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