Continuity Problems: Solve with Confidence

Recent questions in Limits and continuity

Celine Alfaro2022-08-23

embelurildmixjm 2022-08-22

Finding $lim_{n \to \infty} \frac{\sqrt{n!}}{2^{n}}$

phoreeldoefk 2022-08-21

Find the value of : $lim_{n \to \infty} \prod_{k = 1}^{n} \cos (\frac{k a}{n \sqrt{n}})$

Felix Fitzgerald 2022-08-20

Find the slope of the tangent line to the parabola $y = 4 x - x^{2}$ at the point (1,3), i) using Definition 1, ii) using Equation 2

suffisantfn 2022-08-20

Find the limit, if it exists, or show that the limit does not exist. $lim (x, y)$ tends to (1,0) $x y - \frac{y}{{(x - 1)}^{2}} + y^{2}$

Dillan Valenzuela 2022-08-19

How does $lim_{n \to \infty} \frac{f (n)}{g (n)} = 0$ imply that $f (n) \in O (g (n))$ ?

Patience Owens 2022-08-19

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.
$p (v) = 2 \sqrt{3 v^{2} + 1}, a = 1$

embelurildmixjm 2022-08-19

If $2 x \leq g (x) \leq x^{4} - x^{2} + 2$ for all x, evaluate $lim x$ tends to 1 g(x).

Braeden Valenzuela 2022-08-19

At what point is the tangent to $f (x) = x^{2} + 4 x - 1$ horizontal?

Leonidas Cook 2022-08-18

Determine whether f'(0) exists. $f (x) = x^{2} \frac{\sin 1}{x}$ if x is not equal to 0, 0 if x=0

Garrett Sheppard 2022-08-14

Evaluating $lim_{n \to \infty} {(1 - \frac{x}{n^{1 + a}})}^{n}$

heelallev5 2022-08-12

How do I show that $2^{n} / n!$ is bounded above?

sondestiny120g 2022-08-11

How to find $lim_{x \to - N} J_{a} = (- 1)^{N} J_{N}$

Marco Hudson 2022-08-07

Find the limit.
$lim_{u \to 1} (u^{4} - 1) / (u^{3} - 1)$

Damon Campos 2022-08-05

lower limit is 0 upper limit is 2x.
$\int \sin^{2 θ} d θ =$ ?

crazygbyo 2022-08-05

Guess the value of the limit ( it it exists) by evaluationg the funciton at the given numbers ( correct to six decimal places)
a) $lim x^{2} - 2 x / x^{2} - x - 2, x = 2.5, 2.1, 2.05, 2.01, 2.005, 2.001, 1.9, 1.95, 199, 1.995, 1.999$
$x \to 2$
b) $lim x^{2} - 2 x / x^{2} - x - 2, x = 0, - 0.5, - 0.9, - 0.95, - 0.99, - 0.999, - 2, - 1.5, - 1.1, - 1.01, - 1.001$
$x \to - 1$

Pader6u 2022-08-02

find the limit (if it exists)
$lim_{θ \to 0} \sec θ - 1 / θ \sec 0$

Caylee Villegas 2022-08-01

How to solve.
$lim (1 - 1 / h^{2}) / (1 - 1 / h)$
$h \to 0$

Ashlyn Krause 2022-07-29

Determine a region whose area is equal to the given limit.
$lim_{n \to \infty} \sum_{i = 1}^{n} \frac{2}{n} (5 + \frac{2 i}{n})^{10}$

ingwadlatp 2022-07-29

$lim_{x \to 2} (3 x + 2)$ find the limit L. then find $δ > 0$ such that (f(x)-L)<0.01 whenever $0 < (x - c) < δ$

Dealing with calculus and analysis, the chances are high that you will encounter limits and continuity as one of the mathematical challenges. The best way to find answers to your problems is by turning to limits and continuity problems with solutions by exploring how one came to a certain outcome. Regardless if you are dealing with equations or already have some answers that you cannot explain, calculus limits and continuity examples will help you achieve success. Have a look at our calculus limits and continuity problems that we have presented below to apply mathematical analysis as you have some examples.

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