# Check if a Function is Differentiable at a Point – math.stackexchange.com

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Let
\$\$f(x)=
egin{cases}
x+1 & xleq0 \
3^{-x} & x>0
end{cases}\$\$

Is the function differentiable at \$x=0\$?

I should look at the limits \$\$lim_{h o 0-} ...
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