1- Find the following limits if they exist. If the limit does not exist, distinguish between a limit that goes to infinity or DNE. x-100 a) lim x-100 10-√x -2x+5 x→00 VX2+5x-20 b) lim πχ2+3x-4 c) lim x →+∞ 2x3-9x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 48E
Question
1- Find the following limits if they exist. If the limit does not
exist, distinguish between a limit that goes to infinity or DNE.
x-100
x-100 10-√x
a) lim
-2x+5
b) lim
x-00 VX2 +5x–20
c) lim
8+←X
πχ2+3x-4
2x³-9x
2- What value of c will make the following function continuous at
x = 0?
f(x)
x3
= (ana1)
tan³ (3x)
x = 0
x = 0
Transcribed Image Text:1- Find the following limits if they exist. If the limit does not exist, distinguish between a limit that goes to infinity or DNE. x-100 x-100 10-√x a) lim -2x+5 b) lim x-00 VX2 +5x–20 c) lim 8+←X πχ2+3x-4 2x³-9x 2- What value of c will make the following function continuous at x = 0? f(x) x3 = (ana1) tan³ (3x) x = 0 x = 0
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