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(Solved): Let f(s)={(s^(2)-c if sin(-\infty ,4)),(cs+2 if sin[4,\infty )):} For what value of the constant c i ...



Let

f(s)={(s^(2)-c if sin(-\infty ,4)),(cs+2 if sin[4,\infty )):}

For what value of the constant

c

is the function

f

continuous on

(-\infty ,\infty )?

c=

Hint: Compute

\lim_(s->4^(+))f(s)

and

\lim_(s->4^(-))f(s)

.

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