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Question

Determine the value of the constant k so that the function
fx=x2-3x+2x-1, ifx1 k , ifx=1is continuous at x=1

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Solution

Given:
fx=x2-3x+2x-1, if x1k, if x=1
If fx is continuous at x = 1, then,
limx1fx = f1
limx1x2-3x+2x-1= k
limx1x-2x-1x-1= k
limx1x-2= k
k=-1

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