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

geduiwelh 2021-10-16

Compute the limits. Justify your answer.
a) $lim_{x \to \infty} \frac{16 x^{3} - 19 x^{2} + 7 x + 11}{5 x^{2} - 10 x^{3} - 19 x + 100}$
b) $lim_{x \to \infty} \frac{x^{\frac{5}{7}}}{17 x + 29}$

generals336 2021-10-16

Use the precise definition of a limit to prove the following limits.
$lim_{x \to 3} \frac{x^{2} - 7 x + 12}{x - 3} = - 1$

Tobias Ali 2021-10-16

Evaluate the folowing limits.
$lim_{x \to \infty} (\sqrt{x^{2} - 7 x + 1} - x)$
$lim_{x \to - \infty} (\sqrt{x^{2} - 7 x + 1} - x)$

Amari Flowers 2021-10-15

To get an expression for the region under the graph of as limit, use definition 2. Avoid evaluating the boundary.
$f (x) = \frac{2 x}{x^{2} + 1}, 1 \leq x \leq 3$

smileycellist2 2021-10-15

Compute the following limits using LHospitals Rule if appropriate.
The limit of $lim_{x \to 1} \frac{7^{x} - 7}{x^{2} - 1}$ and $lim_{x \to \infty} \frac{\tan^{- 1} x}{\frac{1}{x} - 7}$

Marvin Mccormick 2021-10-15

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

Maiclubk 2021-10-15

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

Chardonnay Felix 2021-10-15

Determine the following limits, using $\infty$ or $- \infty$ when appropriate, or state that they do not exist.
$lim_{x \to 0} \frac{x^{4} + 11 x^{3}}{x^{3}}$

shadsiei 2021-10-15

Find the limit:
$lim_{x \to \infty} {(\frac{1 - x^{3}}{x^{2} + 7 x})}^{5}$

CMIIh 2021-10-15

Use the precise of a limit to prove the following limits.
$lim_{x \to 4} \frac{x - 4}{\sqrt{x} - 2} = 4$

bobbie71G 2021-10-15

Limit and Continuity Find the limit (if it exists) and discuss the continuity of the function.
$lim_{(x, y, z) \to (1, 3, π)} \sin \frac{x z}{2 y}$

geduiwelh 2021-10-15

Find
$lim_{x \to - \infty} \frac{3 x^{3} - 2 x}{x^{2} + 2 x + 8}$

mattgondek4 2021-10-15

SImplify the indicated limits on the following.
$lim_{x \to 0} [\frac{\sin x}{x} + \frac{1 - \cos x}{x} + e^{1 - x}]$

smileycellist2 2021-10-15

Find the critical points of the following functions.
$f (x, y) = - 4 x^{2} + 8 y^{2} - 3$

generals336 2021-10-14

Determine whether the function is continuous at the given point. Show your solution.
$k (x) = \frac{x^{2}}{x^{3} + 1}$ at x=-1

amanf 2021-10-14

What do the $lim_{h \to 0} \frac{\sin h}{h}$ and $lim_{h \to 0} \frac{\cosh - 1}{h}$ have to do with the derivatives of the sine and cosine functions? What are the derivatives of these functions?

ankarskogC 2021-10-14

Which of the following is a verbal version of the Product Law (assuming the limits exist)?
(a) The product of two functions has a limit.
(b) The limit of the products the product of the limits.
(c) The product of a limitis a product of functions.
(d) A limit produces a product of functions.

Nannie Mack 2021-10-14

Techniques of Integration: Integration by Parts, Products of Powers of Trigonometric Functions
Use integration by parts to integrate functions.
Integrate products of powers of trigonometric functions.
Evaluate
$I = \int x \sin 3 x d x$

Alyce Wilkinson 2021-10-14

Find the critical points of the following functions.
$f (x, y) = x^{4} + y^{4} - 4 x - 32 y + 10$

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