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EXAMPLE 4 Evaluate the limit below. lim h → 0 (5 + h)2 − 25h SOLUTION If we define F(h) = (5 + h)2 − 25h then we can't compute the limit by letting h = 0 since F(0) is undefined. But if we simplify F(h) algebraically and simplify at each step, we find that F(h) = + 10h + 25 − 25h

Name: example 4 evaluate the limit below lim h 0 5 h2 25h solution if we define fh 5 h2 25h then we cant compute the limit by letting h 0 since f0 is undefined but if we simplify fh algebraically 49586
Uploaded: 2022-09-30T08:25:48-08:00
Duration: 1 min 26 s
Channel: Sri K
Description: example 4 evaluate the limit below lim h 0 5 h2 25h solution if we define fh 5 h2 25h then we cant compute the limit by letting h 0 since f0 is undefined but if we simplify fh algebraically 49586

          EXAMPLE 4 Evaluate the limit below.
lim h → 0 
(5 + h)2 − 25h
SOLUTION If we define
F(h) = 
(5 + h)2 − 25h
then we can't compute the limit by letting h = 0 since F(0) is undefined. But if we simplify F(h) algebraically and simplify at each step, we find that
F(h) = 
+ 10h + 25
 − 25h

Added by Molly J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

09/30/2022

Step 1

Step 1: Start with the expression for F(h): \[ F(h) = (5 + h)^2 - 25h \] Show more…

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EXAMPLE 4 Evaluate the limit below. lim h → 0 (5 + h)2 − 25h SOLUTION If we define F(h) = (5 + h)2 − 25h then we can't compute the limit by letting h = 0 since F(0) is undefined. But if we simplify F(h) algebraically and simplify at each step, we find that F(h) = + 10h + 25 − 25h