What is the value of k for which the following function f(x) is continuous for all x ? f(x)=\\begin{array}{c}\\\{x^{3\end{array}-3 x+2}/{(x-1)^{2}} , \text{ for } x \neq 1 ; k , \text{ for } x=1.

KEAM 2019 Math Paper

Question : 112 of 121

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What is the value of k for which the following function f(x) is continuous for all x? f(x)={

‌

x3−3x+2

(x−1)2

‌ for ‌x≠1

‌ for ‌x=1.

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