(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
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.1: Concept Of A Function
Problem 100PS
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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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