Homework Help is Here – Start Your Trial Now!
Math
Calculus
x²+2x-63 1. a) Find the value of lim, x-7 10*-10-* b) Evaluate lim,¬ 10*+10-x

x²+2x-63 1. a) Find the value of lim, x-7 10*-10-* b) Evaluate lim,¬ 10*+10-x

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
See similar textbooks
icon
Related questions
Question
please answer this question paper
x²+2x-63 1. a) Find the value of lim,7 X-7 10*-10-* b) Evaluate limx 10*+10-x 2. Test continuity at x = 0 and x = 3 for the function %3D (3 + 2x; - 3< x < 0 0<x< 3 f(x) = { 3– 2x; -3 – 2x; x > 3 3. Differentiate with respect to x of the following functions: (i) (x2 + 1) tan-1x – x (ii) x³ loga x + e* cos x d (iii) e2 In cos 2x 102 In cos 2x iv) dx 4. Consider the function f (x) = (2x – 3)5. Discuss the continuity and differentiability at x = 2 5. Test differentiability at x = 0 and x = 1 for the function %3D x3 + 2x; x – 2; x< 0 0 < x <1 f(x) = 1 x 2 1 x+ Inx
Transcribed Image Text:x²+2x-63 1. a) Find the value of lim,7 X-7 10*-10-* b) Evaluate limx 10*+10-x 2. Test continuity at x = 0 and x = 3 for the function %3D (3 + 2x; - 3< x < 0 0<x< 3 f(x) = { 3– 2x; -3 – 2x; x > 3 3. Differentiate with respect to x of the following functions: (i) (x2 + 1) tan-1x – x (ii) x³ loga x + e* cos x d (iii) e2 In cos 2x 102 In cos 2x iv) dx 4. Consider the function f (x) = (2x – 3)5. Discuss the continuity and differentiability at x = 2 5. Test differentiability at x = 0 and x = 1 for the function %3D x3 + 2x; x – 2; x< 0 0 < x <1 f(x) = 1 x 2 1 x+ Inx
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer