## Related questions with answers

Question

Find a constant b such that h is continuous at x = 2, where

$h ( x ) = \left\{ \begin{array} { l l } { x + 1 } & { \text { for } | x | < 2 } \\ { b - x ^ { 2 } } & { \text { for } | x | \geq 2 } \end{array} \right.$

With this choice of b, find all points of discontinuity.

Solution

VerifiedStep 1

1 of 5A function to be continuous

$\lim\limits_{x \to c} f(x)$ should exist

$\lim\limits_{x \to c} f(x)=f(c)$ then we say that function f is continuous at $x=c$

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