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Let

f(x)= \left\lbrace \begin{array}{ll} -7 x^2 + 7 x &\mbox{for }x<0\ 5 x^2 - 5 &\mbox{for }x\ge 0\ \end{array}\right.
According to the definition of derivative, to compute f'(0), we need to compute the left-hand limit
\lim_{x\to 0^-} =
and the right-hand limit
\lim_{x\to 0^+} =

User Phake
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could you perhaps take a screenshot of this? because I'm confused how this is written when it says "left and right"
User Alex Shkor
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