(63)MathematicsH.W(1) Find the following3x-1-1(i) limX-0x2-9(ii) lim-0 Jx2+7-4(iii) limx-1x3-x2-5x-3(x+1)x1-16(iv) lim2x-2 X-2VX - 3(v) lim-94 - x(vi) limエ→45-x2+91(vii) lim -1'x+1(2) Find the following2x2(i) limx-03-3 cosx1-cosx(ii) lim-I-0 Xsin x(iii) lim(x? - 1)(2 - cos x)(iv) lim sin(x - sin x)(v) lim v csc?x + 5v3 tan x(64)Mathematics(3) Find the following(i) lim vx +1 - Vx2 + vX(ii) lim 2- vX(iii) limX→ーの x+ズx2+1(iv) lim00 X+1(v) lim Vx? + 25 - Vx2 – 1X+00(vi) lim 2x + V4x2 + 3x – 2X00

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(63) Mathematics H.W (1) Find the following x-1-1 (1) lim

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 7E

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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

(63)
Mathematics
H.W
(1) Find the following
3x-1-1
(i) lim
X-0
x2-9
(ii) lim
-0 Jx2+7-4
(iii) lim
x-1
x3-x2-5x-3
(x+1)
x1-16
(iv) lim2
x-2 X-2
VX - 3
(v) lim-9
4 - x
(vi) lim
エ→4
5-x2+9
1
(vii) lim -1'x+1
(2) Find the following
2x2
(i) lim
x-03-3 cosx
1-cosx
(ii) lim-
I-0 Xsin x
(iii) lim(x? - 1)(2 - cos x)
(iv) lim sin(x - sin x)
(v) lim v csc?x + 5v3 tan x
(64)
Mathematics
(3) Find the following
(i) lim vx +1 - Vx
2 + vX
(ii) lim 2- vX
(iii) lim
X→ーの x+ズ
x2+1
(iv) lim
00 X+1
(v) lim Vx? + 25 - Vx2 – 1
X+00
(vi) lim 2x + V4x2 + 3x – 2
X00

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