(a) Let f: R→ R be a function continuous at a € R and suppose that f(a) > 5. Find a number 8 >0 such that f(x) > 5 for all x = B(a, 6). (b) Let a > 0. Use the formal definition of the limit of a function to prove that lim √x = √a. x-a
(a) Let f: R→ R be a function continuous at a € R and suppose that f(a) > 5. Find a number 8 >0 such that f(x) > 5 for all x = B(a, 6). (b) Let a > 0. Use the formal definition of the limit of a function to prove that lim √x = √a. x-a
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 4:
(a) Let f: RR be a function continuous at a € R and suppose
that f(a) > 5. Find a number 8 >0 such that f(x) > 5 for all
x = B(a, 6).
(b) Let a > 0. Use the formal definition of the limit of a function
to prove that lim √√x = √a.
x→a
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