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Consider the following limit.  lim x→4 (x2 + 7)  Find the limit L. L =  (a) Find ? > 0 such that  |f(x) − L| < 0.01 whenever 0 < |x − c| < ?.  (Round your answer to five decimal places.) ? =  (b) Find ? > 0 such that  |f(x) − L| < 0.005 whenever 0 < |x − c| < ?.  (Round your answer to five decimal places.

Consider the following limit.  lim x→4 (x2 + 7)  Find the limit L. L =  (a) Find ? > 0 such that  |f(x) − L| < 0.01 whenever 0 < |x − c| < ?.  (Round your answer to five decimal places.) ? =  (b) Find ? > 0 such that  |f(x) − L| < 0.005 whenever 0 < |x − c| < ?.  (Round your answer to five decimal places.

Advanced Engineering Mathematics
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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Consider the following limit.

 lim x→4 (x2 + 7) 

Find the limit L.

L = 



(a) Find ? > 0 such that 
|f(x) − L| < 0.01 whenever 0 < |x − c| < ?.
 (Round your answer to five decimal places.)
? = 

(b) Find ? > 0 such that 
|f(x) − L| < 0.005 whenever 0 < |x − c| < ?.
 (Round your answer to five decimal places.)
? = 
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