Limits and Continuity Explained: Expert Help

Recent questions in Limits and continuity

Jaden Easton 2021-01-17

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

Jason Farmer 2021-01-16

Find the limits: As $x \to \infty, \frac{- 2 x (x^{2} + 4)}{- 7 - 7 x^{4}}$

lwfrgin 2021-01-16

Find each of the following limits. If the limit is not finite, indicate or for one- or two-sided limits, as appropriate.
$lim_{t \to 0} \frac{5 t^{2}}{\cos t - 1}$

nitraiddQ 2021-01-15

Suppose the functions f(x) and g(x) are defined for all x and that $lim_{x \to 0} f (x) = \frac{1}{2}$ and $lim_{x \to 0} g (x) = \sqrt{2}$ . Find the limits as $x \to 0$ of the following functions. $f (x) \frac{\cos x}{x - 1}$

facas9 2021-01-13

Evaluate the following limit.
$lim_{x \to 0} \frac{\sin a x - \tan^{- 1} a x}{b x^{3}}$

CoormaBak9 2021-01-13

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

Clifland 2021-01-10

Use the method of your choice to evaluate the following limits.
$lim_{(x, y) \to (1, 1)} \frac{x^{2} + x y - 2 y^{2}}{2 x^{2} - x y - y^{2}}$

Falak Kinney 2021-01-08

Evaluate the following limits.
$lim_{x \to 2} \frac{\sin (x - 2)}{x^{2} - 4}$

Jaden Easton 2021-01-07

Find the limit:
$lim_{x \to \infty} \frac{\sqrt{9 x + 1}}{\sqrt{x + 1}}$

Jaya Legge 2021-01-04

Find the limit and discuss the continuity of the function. $lim_{(x, y) \to (3, 1)} (x^{2} - 2 y)$

Ayaana Buck 2021-01-04

Find the limits:
$lim_{x \to 3} f (x), w h e r e f (x) = \frac{1}{2} x - 7$

Zoe Oneal 2021-01-02

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

jernplate8 2021-01-02

Find the limit:
$lim_{x \to \infty} \frac{3 x^{6} - x^{4} + 2 x^{2} - 3}{4 x^{5} + 2 x^{3} - 5}$

Lennie Carroll 2020-12-30

Evaluate the following limits. $lim_{(x, y) \to (e^{2}, 4)} \ln \sqrt{x y}$

Tahmid Knox 2020-12-27

Find the limits:
$lim_{x \to 3} \frac{- 2}{x - 3}$

Tahmid Knox 2020-12-24

Find the limits
$lim_{y \to 2} \frac{y + 2}{y^{2} + 5 y + 6}$

Globokim8 2020-12-24

Find the limits
$lim_{x \to 0} \sin (\frac{π + \tan x}{\tan x - 2 \sec x})$

illusiia 2020-12-22

Evaluate the following limit. If you use LHospital

Isa Trevino 2020-12-22

Find the limits:
$lim_{x \to \infty} (\sqrt{x + 9} - \sqrt{x + 4})$

naivlingr 2020-12-21

Find the limits.
$lim_{x \to - \infty} \frac{2^{x} + 4^{x}}{5^{x} - 2^{x}}$

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