Question
Asked Dec 4, 2019
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1. (Find the value of a so that the function f(x) is continuous everywhere.
f(x) ={2x+a if x<1    ;  4-x^2 if x>_ 1

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Expert Answer

Step 1

Given:

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(2x+a f()4-x ifx <1 ifx 21

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Step 2

The function is continuous everywhere only when the right hand li...

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lim .--(2.r+a)= lim "x1 - (4-x*) 2(1)+a 4-) 2+a 4-1 2+a 3 a 3-2 a 1

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Tagged in

Math

Calculus

Continuity