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Piece wise defined function

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Not: this is a piece wise defined function

x^(2) + 5, if x<b
Let f(x) = d, if x=b
x^(2) - 8x, if x>b

a) Find b such that lim f(x) exists.
x->b

Note: Enter does not exist if no b exists which make the limit well defined.

b=_________

b) Find the value of d if f is continuous at b.

d=_________

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Solution Summary

A piece wise defined function is examined.

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a) The limit of f(x) as x approaches b exists, if
the limit of f(x) as x approaches b from the left, that is, as x->b and x<b,
and the limit of f(x) as x approaches b from the right, that is, as x.->b and ...

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