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EXAMPLE 5 Evaluate the limit below: lim (5 + h)^2 - 25 SOLUTION: If we define F(h) = (5 + h)^2 - 25, then we can compute the limit by letting h approach 0. However, F(0) is undefined. But if we simplify F(h) algebraically and simplify at each step, we find that F(h) = (5 + h)^2 - 25 = 25 + 10h + h^2 - 25 = 10h + h^2 (Recall that we consider only h when letting it approach 0). Thus, the limit is...

Name: example 5 evaluate the limit below lim 5 h2 25 solution if we define fh 5 b2 25 then we cant compute the ilmit by letting h since f0 is undefined but if we simplify fh algebralcally and 41604
Uploaded: 2022-09-30T08:25:48-08:00
Duration: 1 min 26 s
Channel: Sri K
Description: example 5 evaluate the limit below lim 5 h2 25 solution if we define fh 5 b2 25 then we cant compute the ilmit by letting h since f0 is undefined but if we simplify fh algebralcally and 41604

          EXAMPLE 5 Evaluate the limit below: lim (5 + h)^2 - 25
SOLUTION: If we define F(h) = (5 + h)^2 - 25, then we can compute the limit by letting h approach 0. However, F(0) is undefined. But if we simplify F(h) algebraically and simplify at each step, we find that
F(h) = (5 + h)^2 - 25
= 25 + 10h + h^2 - 25
= 10h + h^2
(Recall that we consider only h when letting it approach 0). Thus, the limit is...

Added by Carol C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

09/30/2022

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Step 1:** Define \( F(h) = (5 + h)^2 - 25 \) ** Show more…

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EXAMPLE 5 Evaluate the limit below: lim (5 + h)^2 - 25 SOLUTION: If we define F(h) = (5 + h)^2 - 25, then we can compute the limit by letting h approach 0. However, F(0) is undefined. But if we simplify F(h) algebraically and simplify at each step, we find that F(h) = (5 + h)^2 - 25 = 25 + 10h + h^2 - 25 = 10h + h^2 (Recall that we consider only h when letting it approach 0). Thus, the limit is...