Limits and Continuity Explained: Expert Help

Recent questions in Limits and continuity

nagasenaz 2020-11-14

Find the limits. $lim_{x \to - 2} g (f (x))$
$f (x) = x + 7 g (x) = x^{2}$

Chardonnay Felix 2020-11-14

Evaluate the following limits.
$lim_{(u, v) \to (8, 8)} \frac{u^{1 / 3} - v^{1 / 3}}{u^{2 / 3} - v^{2 / 3}}$

allhvasstH 2020-11-14

Evaluate the following limits.
$lim_{θ \to 0} \frac{\cos^{2} θ - 1}{θ}$

Dolly Robinson 2020-11-10

Evaluate the following limits
$lim_{x \to 0} \frac{\sin 7 x}{\sin 3 x}$

Lipossig 2020-11-10

Find the following limit.
$lim_{n \to \infty} \frac{2 n^{2} + 2}{5 n^{3} - 3 n - 1}$

Yasmin 2020-11-10

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

coexpennan 2020-11-09

Find the limits:
$lim_{x \to 2} \frac{x^{2} - 7 x + 10}{x - 2}$

Trent Carpenter 2020-11-09

Use Taylor series to evaluate the following limits. Express the result in terms of the nonzero real parameter(s).
$lim_{x \to 0} \frac{e^{a x} - 1}{x}$

e1s2kat26 2020-11-08

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

Tazmin Horton 2020-11-07

Find the limits
$lim_{x \to 0} \frac{\frac{1}{x - 1} + \frac{1}{x + 1}}{x}$

illusiia 2020-11-01

Evaluate the following limits.
$lim_{(x, y) \to (2, - 1)} (x y^{8} - 3 x^{2} y^{3})$

Joni Kenny 2020-11-01

Evaluate the following limits.
$lim_{(x, y) \to (- 3, 3)} (4 x^{2} - y^{2})$

Annette Arroyo 2020-10-28

Let $a_{n} \to 0$ , and use the Algebraic Limit Theorem to compute each of the following limits (assuming the fractions are always defined):
$lim_{n \to \infty} \frac{1 + 2 a_{n}}{1 + 3 a_{n} - 4 (a_{n})^{2}}$

ossidianaZ 2020-10-28

Find the limits
$lim_{(x, y) \to (3, 4)} \sqrt{x^{2} + y^{2} - 1}$

Tazmin Horton 2020-10-28

Find the limit
$lim_{x \to 0} \frac{x \sin x}{2 - 2 \cos x}$

CoormaBak9 2020-10-27

Use L'Hospital Rule to find the limits $\lim_{x \to 0} \frac{s i n m x}{s i n n x}$

Trent Carpenter 2020-10-27

Find the limit:
$lim_{n \to \infty} (\frac{1}{n + 1} + \frac{1}{n + 2} + . . . + \frac{1}{2 n})$

Ayaana Buck 2020-10-23

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

hexacordoK 2020-10-19

Determine the limits if they exist: $lim_{(x, y) \to (2, 4)} \frac{(x - 2)^{2} (y - 4)^{2}}{(x - 2)^{3} + (y - 4)^{3}}$

generals336 2020-10-18

Evaluate the following limits.
$lim_{(x, y) \to (6, 2)} \frac{x^{2} - 3 x y}{x - 3 y}$

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