Get Your Calculus 1 Questions Answered Here!

Find the limits. if the limit does not exist, state it. In each part show your calculations and circle the answer.
$\frac{x^{2} - 4 x + 4}{x^{2} + x - 6}$

Rivka Thorpe 2021-11-06

Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided limits are $\infty$ or $- \infty$ , and describe the corresponding vertical asymptote.
$lim_{x \to 0^{\pm}} \frac{\sin x}{| x |}$

Kaycee Roche 2021-11-06

Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided limits are ∞ or −∞, and describe the corresponding vertical asymptote.
$lim_{x \to - 2^{\pm}} \frac{4 x^{2} + 7}{x^{3} + 8}$

rocedwrp 2021-11-06

Evaluate the integral.
integral $(x^{3} - x + 6) / (x^{2} + 2) (x^{2} + 1) d x$

abondantQ 2021-11-06

Discuss the continuity of the function $f (x) = {\begin{cases} x^{2} - 3 x & i f & x < 2 \\ 2 x + 4 & i f & x \geq 2 \end{cases}$
on the open interval $0 \leq x \leq 2$

BenoguigoliB 2021-11-05

Find the following limits or state that they do not exist.
$lim_{x \to 1^{+}} \frac{x - 1}{\sqrt{x^{2} - 1}}$

Haven 2021-11-05

Analyze the continuity of the function below. Determine the type(s) of discontinuity and justify your answer.
$f (x) = {\begin{cases} x, & i f & x < 0 \\ 3, & i f & x = 0 \\ x^{2}, & i f & 0 < x < 3 \\ x + 6, & i f & x \geq 3 \end{cases}$

generals336 2021-11-01

Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numbers.
$lim_{w \to 3^{-}} \frac{| w - 3 |}{w^{2} - 7 w + 12}$

Tahmid Knox 2021-11-01

The limit represents f'(c) for a function f and a number c. Find f and c.
$lim_{△ x \to 0} \frac{f (x + △ x) - f (x)}{△ x} = lim_{△ x \to 0} \frac{{(- 2 + △ x)}^{3} + 8}{△ x}$

aortiH 2021-11-01

Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numbers.
$lim_{x \to 3} \frac{\frac{1}{x^{2} + 2 x} - \frac{1}{15}}{x - 3}$

sanuluy 2021-11-01

Determine whether the sequence converges or diverges. If it converges, find the limit. $a n = 3 + 5 \frac{n^{2}}{n} + n^{2}$

nitraiddQ 2021-11-01

Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numbers.
$lim_{h \to 0} \frac{100}{110 h - 12^{11} + 2}$

Chaya Galloway 2021-11-01

Evaluate the following limits.
a) $lim_{x \to \infty} \frac{\sqrt{3 + 8 x^{2}}}{7 + 11 x}$
b) $lim_{x \to - \infty} \frac{\sqrt{3 + 8 x^{2}}}{7 + 11 x}$

EunoR 2021-10-31

Find the limit and discuss the continuity of the function.
$lim_{(x, y) \to (0, 2)} \frac{x}{y}$

emancipezN 2021-10-31

Evaluate each limit if it exists. Show all work and give evidence of reasoning. If a limit does not exist, identify in what way it does not exist ( $\infty, - \infty,$ DNE).
$lim_{x \to \infty} \frac{x^{3} - \sqrt{x}}{2 x^{3} + x + 1}$

Falak Kinney 2021-10-31

Examine the continuity and differential possibilities of function $f (x) = | x^{2} - 1 |$ in x=1

Lipossig 2021-10-31

Limit and Continuity Find the limit (if it exists) and discuss the continuity of the function.
$lim_{(x, y) \to (1, 1)} \frac{x y}{x^{2} + y^{2}}$

Bevan Mcdonald 2021-10-31

Limits involving transcendental functions. Analyze the following limits after determining the continuity of the functions involved.
$lim_{x \to 0} \frac{\cos^{2} x - 1}{\cos x - 1}$

defazajx 2021-10-31

SImplify the indicated limits on the following.
$lim_{x \to \infty} \frac{3 x^{2} + 5}{x^{2} + 1}$

Kye 2021-10-31

Continuity and limits with transcendental functions: Determine the interval on which following functions
$f (x) = \frac{e^{x}}{1 - e^{x}}$

The majority of Calculus 1 questions and answers that you will find below should be sufficient for understanding the basic rules that are necessary for problem-solving purposes. Take a look at the original answers, seek math assignment help, and compare them to what you have for your assignment.

If you need any other kind of help for your Calculus 1 tasks, combine several solutions or look at the problem that seems similar to your original assignment. If Math is not your subject per se, start with the most basic problems and proceed with the complex ones.

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