CHAPTER 5: FunctionaExercise 5.6Parl2alw martayO Consider the functionDue O[1- x2, x+1f(x) =2, x = 1Graph the function f(x).O Find lim,1- f(x) and limy-1 f(x).O Does limx+1 f(x) exist? If so, what is it. If not, why not?201(+1Determine the following limitslimx->0 1+y3x+1sin 2xO limx010x"+x*+31O limxtO limx-2-Vx3limx-2 x-2limx- f(x) if < f(x) < 25x2+1X 00349 (I+1)(x+2)I+12+32+1 212 - 6x+ 17+1-6451+3r+2+2Exercise 5.6. Find the partial fractions decomposition of the fLecturePara)3r+11r+4b) 3r142-4xr2-29r+5c)(x-4) (=²+3)(3r-chWPB近

(Since it is not mentioned which question to solve and question 4 part 2 is not clear so Solving the…

Answered: Consider the function Pue au Marka 1-…

Consider the function Pue au Marka 1- x2, x1 f(x) = 2, %3D X = 1 Graph the function f(x). Find lim,1- f(x) and limy-1 f(x). Does limx1 f(x) exist? If so, what is it. If not, why not?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 60E

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Concept explainers

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

CHAPTER 5: Functiona
Exercise 5.6
Parl2
alw martay
O Consider the function
Due O
[1- x2, x+1
f(x) =
2, x = 1
Graph the function f(x).
O Find lim,1- f(x) and limy-1 f(x).
O Does limx+1 f(x) exist? If so, what is it. If not, why not?
201
(+1
Determine the following limits
limx->0 1+y3x+1
sin 2x
O limx0
10x"+x*+31
O limxt
O limx-
2-Vx
3
limx-2 x-2
limx- f(x) if < f(x) < 25
x2+1
X 00
349

(I+1)(x+2)
I+1
2+32+1 212 - 6x+ 17+1-
6
45
1+3r+2
+2
Exercise 5.6. Find the partial fractions decomposition of the f
Lecture
Par
a)
3r+11
r+4
b) 3r142-4x
r2-29r+5
c)
(x-4) (=²+3)
(3r-
ch
WPB
近

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