IT. Given thut f(x) = X2- 256 itx+16 and gixl=k+16 X - 16 31 ifx= 16 determine lim f(x! and lim 9(x). Briefly explain your メ→lb X- 16 Cunclusions bused ufun an a pprofriute theorem.
IT. Given thut f(x) = X2- 256 itx+16 and gixl=k+16 X - 16 31 ifx= 16 determine lim f(x! and lim 9(x). Briefly explain your メ→lb X- 16 Cunclusions bused ufun an a pprofriute theorem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer # II show all work
Transcribed Image Text:Enstructions: Please answer each question as directed showing
all werk n this Puper.
I. using un ly the Precise definition of limit (8, E), Prove that
lim
X -3
Also determine the corres Ponding vulues of
lax-7/= -16
8 if E = 0.1 and E = 0.0iresfective!Y.
X 256
X - 16
31
IT
Given that f (x) =
itx+ 16
and g(x= K+16
91 -メナ!
cdetermine lim f(x! and
メ→lb
9 (x). Briefly explain your
lim
X- 16
Cunclusions bused upon an a perefriate theorem.
Suppose we know that yx ɛ R, h(x) < f (x/< g(x) where
h(x)= 31-4x2
Gnd g(x) = 31+4x?
Determinelim f(x1.
X --) O
Briefly explain your conclusion bused upon an appropriate
the orem.
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