1-4 Given thatlim f(x) = 0lim g(x) = 0lim h(x) = 1alim p(x) = ∞lim q(x) = 0which of the following limits are indeterminate forms? Forthose that are not an indeterminate form, evaluate the limit wherepossible.f(x)1. (a) limX-a g(x)f(x)(b) limp(x)h(x)(c) limx-a p(x)p(x)(d) limXa f(x)p(x)(e) limq(x)2. (a) lim [f(x)p(x)](b) lim [h(x)p(x)](c) lim [p(x)q(x)]3. (а) lim [f(x) — р(х)](b) lim [p(x) – q(x)]|(c) lim [p(x) + q(x)]4. (a) lim [f(x)]o(b) lim [f(x)]")(c) lim [h(x)]M)(d) lim [p(x)](»

Given data is , limx→afx=0 limx→agx=0 limx→ahx=1 limx→apx=∞ limx→aqx=∞

1-4 Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 %3D lim p(x) = ∞ lim q(x) = 0 which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible. f(x) (b) lim p(x) f(x) 1. (a) lim a g(x) h(x) (c) lim p(x) (d) lim f(x) a p(x) p(x) (e) lim Xa g(x)

1-4 Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 %3D lim p(x) = ∞ lim q(x) = 0 which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible. f(x) (b) lim p(x) f(x) 1. (a) lim a g(x) h(x) (c) lim p(x) (d) lim f(x) a p(x) p(x) (e) lim Xa g(x)

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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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

1-4 Given that
lim f(x) = 0
lim g(x) = 0
lim h(x) = 1
a
lim p(x) = ∞
lim q(x) = 0
which of the following limits are indeterminate forms? For
those that are not an indeterminate form, evaluate the limit where
possible.
f(x)
1. (a) lim
X-a g(x)
f(x)
(b) lim
p(x)
h(x)
(c) lim
x-a p(x)
p(x)
(d) lim
Xa f(x)
p(x)
(e) lim
q(x)
2. (a) lim [f(x)p(x)]
(b) lim [h(x)p(x)]
(c) lim [p(x)q(x)]
3. (а) lim [f(x) — р(х)]
(b) lim [p(x) – q(x)]
|
(c) lim [p(x) + q(x)]
4. (a) lim [f(x)]o
(b) lim [f(x)]")
(c) lim [h(x)]M)
(d) lim [p(x)](»

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