SOLUTION: Correct way Let f (x) = {{{ (-0.25 + e^x)^(1/2) }}} Determine whether f is continuous from both sides at 0, continuous from the left at 0, continuous from the right at 0, o

Algebra ->  Finance -> SOLUTION: Correct way Let f (x) = {{{ (-0.25 + e^x)^(1/2) }}} Determine whether f is continuous from both sides at 0, continuous from the left at 0, continuous from the right at 0, o      Log On


   

Question 989651: Correct way
Let f (x) = +%28-0.25+%2B+e%5Ex%29%5E%281%2F2%29+
Determine whether f is continuous from both sides at 0, continuous from the left at 0, continuous from the right at 0, or discontinuous at 0.

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Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your function is  f(x) = sqrt%28e%5Ex-0.25%29.

Notice that  e%5Ex  is  1  at  x=0.

Your function is continuous from both sides at 0, continuous from the left at 0, and continuous from the right at 0.