T-EB ) Find lim f(2). Do not use quep ל -ולvלד T-人ス det fézf 32+7

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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3a+7
T-ス
O Find lim f(2) . Do not use
· Do not use
Transcribed Image Text:3a+7 T-ス O Find lim f(2) . Do not use · Do not use
Expert Solution
Step 1

Given function is fx=3x+7   if x<1x2+3   if 1x<15x1   if 1x.

(a) We have to find the limx1fx.

Left hand limit at x=-1 is given by

limx1fx=limx13x+7=4

Hence, limx1fx=4

Right hand limit at x=-1 is given by

limx1+fx=limx1+x2+3=4

Hence, limx1+fx=4

Hence at x=-1, limit of fx is exist

And limx1fx=4

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