3. Give the definition of a continuous function (at a point ao) of one variable. Find (if possible) values of parameters a, b e R for which the following function is continuous: In(x + 1) 7x for a > 0 f(x) = %3D b. sin(x?) for x < 0 4x2 – 5x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. Give the definition of a continuous function (at a point xo) of one variable.
Find (if possible) values of parameters a, b e R for which the following function is continuous:
In(x + 1)
- 7x for
x >0
а
f(x) :
b. sin (x2)
for
x < 0
4x2 – 5x
Transcribed Image Text:3. Give the definition of a continuous function (at a point xo) of one variable. Find (if possible) values of parameters a, b e R for which the following function is continuous: In(x + 1) - 7x for x >0 а f(x) : b. sin (x2) for x < 0 4x2 – 5x
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