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Chapter 14: Q. 13 (page 905)

In Problem, determine whether f is continuous at c.

fx=x2-4x+2,c=-2

Short Answer

Expert verified

The given polynomial functionfx=x2-4x+2,c=-2
is not continuous at c = 5

Step by step solution

01

Step1. Given information 

Polynomial function fx=x2-4x+2,c=-2

c=-2

We know that

A function is called continuous function when at x= a,

limx鈫�afx=fa

and defined for every number of domain

02

Step2. Calculations of continuity 

According to the question, given function is a rational function, To find the domain of function firstly we have to find the value of x, where the denominator gets 0

at x=-2 , (x+2) gets 0

so the domain of the function is x鈭�(R-(-2))

As -2 is not in the domain

so we cant find continuity at -2

  • the given function is continuous at x= -2

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