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(Solved): Let f(x)={(3-x,x<2),(2,x=2),((x)/(2),x>2):} a. Find \lim_(x->2^(+))f(x),\lim_(x->2^(-))f ...



Let

f(x)={(3-x,x<2),(2,x=2),((x)/(2),x>2):}

a. Find

\lim_(x->2^(+))f(x),\lim_(x->2^(-))f(x)

, and

f(2)

. b. Does

\lim_(x->2)f(x)

exist? If so, what is it? If not, why not c. Find

\lim_(x->-1^(-))f(x)

and

\lim_(x->-1^(+))f(x)

. d. Does

\lim_(x->-1)f(x)

exist? If so, what is it? If not, why not

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