V-1- x + 5 if x < - 2 Let f(x) : it x = - 4x + 14 if x > - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x→ - 2 lim

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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-1- x + 5 if x < - 2
Let f(x)
if x =
- 2
if x > - 2
Calculate the following limits. Enter "DNE" if the limit does not exist.
4x + 14
lim
f(x) =
x→ - 2
lim
f(æ) =
x→ -2+
lim
x → - 2
f(x)
Transcribed Image Text:-1- x + 5 if x < - 2 Let f(x) if x = - 2 if x > - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. 4x + 14 lim f(x) = x→ - 2 lim f(æ) = x→ -2+ lim x → - 2 f(x)
Expert Solution
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.

find the left-hand side limit of the function at x=-2

\lim _{x\to -2^-}f\left(x\right)

=\lim _{x\to -2^-}\sqrt{-1-x}+5\:

=\sqrt{-1-\left(-2\right)}+5

=\sqrt{-1+2}+5

=\sqrt{1}+5

=1+5

=6

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