SOLUTION: 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, or discontinuo

Algebra ->  Equations -> SOLUTION: 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, or discontinuo      Log On


   

Question 989649: 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.
Please explain
Thank you
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
f(x) = %28-0.25+%2B+e%5Ex%29%5E%281%2F2%29.

I corrected your writing.
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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.