2x2 + x + 7if x < -211. Consider the function f (x) =if x = -2 .2x3+ 29if x > -2(a) Find lim f(x).x--2-(b) Find lim f(x).x→-2+(c) Find lim f(x), or show that it does not exist.x--2(d) Is f continuous at x =-2? Justify your answer.

Answered: Image /qna-images/answer/8e3b4792-6da1-4ea4-a9b0-3ed9584c2830.jpg

Answered: 2x2 + x +7 if x < -2 11. Consider the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2x2 + x +7 if x < -2 11. Consider the function f(x) = 3 if x = -2 . 2.x3 + 29 if x > -2 (a) Find lim f(x). x→-2- (b) Find lim f(x). x-2+ (c) Find lim f(x), or show that it does not exist. x -2 (d) Is f continuous at x = -2? Justify your answer.