Exercise 9: Suppose we are given the following:lim f(x)3,lim g(x) 0, lim h(x) -2CCEvaluate the following limits (using anything from class) if they exist, state they do not exist, or statethat we do not have enough information. Give a short explanation.a) lim [3f (x) 2h(x)]b) lim [h(a)]h(x)g(x)d) limh(ar)c) lim-Ус х — С4f) lim [3g(x)]e) limilbuba(+ 9 0f(x) h(a)f(ar)-h(ar)g(x)CIXC2f(x)3h(a)g(x)IXh) limg) limс-Усx-Cfor If they do not exist, give

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Asked Oct 13, 2019
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Exercise 9: Suppose we are given the following:
lim f(x)3,
lim g(x) 0, lim h(x) -2
C
C
Evaluate the following limits (using anything from class) if they exist, state they do not exist, or state
that we do not have enough information. Give a short explanation.
a) lim [3f (x) 2h(x)]
b) lim [h(a)]
h(x)
g(x)
d) lim
h(ar)
c) lim
-Ус х — С
4
f) lim [3g(x)]
e) lim
ilbuba
(+ 9 0
f(x) h(a)
f(ar)-h(ar)
g(x)
C
IXC
2f(x)3h(a)
g(x)
IX
h) lim
g) lim
с-Ус
x-C
for If they do not exist, give
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Exercise 9: Suppose we are given the following: lim f(x)3, lim g(x) 0, lim h(x) -2 C C Evaluate the following limits (using anything from class) if they exist, state they do not exist, or state that we do not have enough information. Give a short explanation. a) lim [3f (x) 2h(x)] b) lim [h(a)] h(x) g(x) d) lim h(ar) c) lim -Ус х — С 4 f) lim [3g(x)] e) lim ilbuba (+ 9 0 f(x) h(a) f(ar)-h(ar) g(x) C IXC 2f(x)3h(a) g(x) IX h) lim g) lim с-Ус x-C for If they do not exist, give

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Expert Answer

Step 1

Hey, since there are multiple subparts posted, we will answer first 3 questions. If you want any specific question to be answered then please submit that question only or specify the question number in your message

Step 2

(a)

Find the limit of the function as x approaches c as follows.

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lim[3f(x)-2h(x)]lim[3f(x)]-lim[2h(x)] =3 lim f(x)-2lim h(x) 3(3)-2(-2) 9+4 =13

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Step 3

b)

Find the limit of the function as x appro...

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limhxlimh(x) (-2)' =-8

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