Asked by anonymous

f(x)=x/e^x
Show that f is continuous and differentiable for all real numbers.
Answered by oobleck
since e^x is never zero, it is clear that f(x) is continuous everywhere

so, what does it mean to be differentiable?
Answered by anonymous
I believe it implies that the function can be differentiated
Answered by oobleck
yes. That involves evaluating a limit. If that limit exists, then the function is differentiable.
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