Limits and Continuity Explained: Expert Help

Recent questions in Limits and continuity

Simon Hanna 2022-12-03

Use the graph below to decide whether the limit statements are true or false

$lim_{x \to - 2} f (x) = D N E$
$lim_{x \to - 2^{+}} f (x) = 3$
$lim_{x \to - 7} f (x) = 3$
$lim_{x \to \infty} f (x) = - \infty$
$lim_{x \to 3} f (x) = 7$
$lim_{x \to - \infty} f (x) = \infty$

Emilia Carpenter 2022-12-01

The following functions are undefined at x =0. For each determine if this point of discontinuity is removable or not If, so state the value for the function at x = 0 which allows for a continuous extension.
(a) $f (x) = 1 / (\sin (x))$
(b) $f (x) = x \sin (1 / x)$
(c) $f (x) = (| \sin (x) |) / x$
(d) $f (x) = (\sin (2 x)) / x$

AimettiA8J 2022-11-29

You must estimate the limit using the appropriate limit law.
$lim x \to \frac{2 x^{2} + 4}{x^{2} + 4 x - 4}$

johnathanpbICa 2022-11-26

Express the limit as a definite integral on the given interval.
$lim_{n \to \infty} \frac{\cos x_{i}}{x_{i}} δ x, [2 π, 3 π]$

Jay Park 2022-11-25

Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)
$lim_{t \to 2} \frac{(t^{4} - 3)}{(2 t^{2} - 3 t + 7)}$

phumzaRdY 2022-11-24

Evaluate $lim_{(x, y) \to (0, 0)} \frac{\sin (x^{2} + y^{2})}{c d}$

Cyrus Travis 2022-10-30

How to show $lim_{x \to - N} (x + N) Γ (x)$

blackdivcp 2022-10-15

Determine $lim_{x \to 0} \frac{x - \sin x}{x^{3}} = \frac{1}{6}$ , without L'Hospital or Taylor

Aubrie Mccall 2022-10-01

Evaluate the following limit: $lim_{x \to - \infty} \frac{8 x^{4} + 3 x^{2} - x}{\sqrt{9 x^{8} - 2 x^{5} + 4}}$

koraby2bc 2022-09-26

The devariate of a functions of f at x is given by
$f^{'} (x) = lim_{h \to 0} \frac{f (x + h) - f (x)}{h}$
provide the limit exists
Use the definition of the derivative to find the derivative of $f (x) = 8 x^{2} + 9 x + 1$ .Enter the fully simplified expression for f(x+h)-f(x).

Celinamg8 2022-09-26

Find limit as h approaches 0 of
$\frac{e^{x (h + 2)^{2}} - e^{4 x}}{h}$

mundocromadomg 2022-09-14

How can I solve this limit?
$lim_{x \to 1} \frac{\sin (x - 1)}{x - 1}$

andg17o7 2022-09-06

Find the limit. $lim_{x \to 1} + \frac{x^{2} + x}{\sqrt{x - 1}}$

Modelfino0g 2022-09-05

Solve. $lim_{t \to 0} \frac{\sin k t}{t}$

Malik Turner 2022-09-05

Find the limits :
$lim_{x \to 1} \frac{x^{2} - 2 x - 3}{2 x - 6}$

veXslefsskink09 2022-09-04

Find limit $((\cos (x) - 1 / \sin (x), x, 0)$

teevaituinomakw 2022-09-03

Find the limits :
$lim_{x \to \infty} \frac{x - 3}{x^{2} - x + 1}$

Loldi9s 2022-09-02

Use the graph of $f (x) = 3^{x - 8} - 10$ to give the range of f(x).
a) y $\leq$ -10
b) y < 10
c) y > -10
d) y $\geq$ -10
e) y < -10
f) None ofthe above.

Kent Beduya2022-09-01

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