Questions: 1. (20 points) Let f: R → R be defined with f(x) = x2 + 1. Then for any a E R show that lim x? + 1 = a² + 1 (Use ɛ – 8 relation definition of limit) 2. (10 points) Let f: R → R be defined with the function f(x) = . Show that the function f (x) is bounded on R.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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Can you please help fastly, I have only 20minutes, please help me.

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Course: Mathematical Analysis-I| CodeMATH 318
Semester : 2020-2021 Spring term
Type of Exam: quiz
Full Name:
Questions:
1. (20 points) Let f: R → R be defined with f(x) = x² + 1. Then for any a e R
show that
lim x? + 1 = a² + 1
(Use -
8 relation definition of limit)
1
2. (10 points) Let f: R → R be defined with the function f(x) = . Show that
x²+1
the function f (x) is bounded on R.
Transcribed Image Text:Course: Mathematical Analysis-I| CodeMATH 318 Semester : 2020-2021 Spring term Type of Exam: quiz Full Name: Questions: 1. (20 points) Let f: R → R be defined with f(x) = x² + 1. Then for any a e R show that lim x? + 1 = a² + 1 (Use - 8 relation definition of limit) 1 2. (10 points) Let f: R → R be defined with the function f(x) = . Show that x²+1 the function f (x) is bounded on R.
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