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# (Solved): can yiu do questions 2 and 3  Problem(2) (10 points) Given $$y=T(x)=\left\{\begin{array}{cc}x^ ... can yiu do questions 2 and 3 Problem(2) (10 points) Given \( y=T(x)=\left\{\begin{array}{cc}x^{2}, & x \leq 0 \\ 1 / x, & 01\end{array} \quad\right.$$ Find the following limits. (a) $$\lim _{x \rightarrow 0^{+}} T(x)$$ (b) $$\lim _{x \rightarrow 0^{-}} T(x)$$ (c) $$\lim _{x \rightarrow 0^{2}} T(x)$$ (d) $$\lim _{x \rightarrow 1^{+}} T(x)$$ (e) $$\lim _{x \rightarrow 1^{-}} T(x)$$ (f) $$\lim _{x \rightarrow 1} T(x)$$ Problem(3) (10 points) Given function $$f(x)=\frac{1}{2} x^{2}-x$$, compute the following: (a) $$f(x+h)=$$ ? (b) $$f(x+h)-f(x)=$$ ? (c) $$\frac{f(x+h)-f(x)}{h}=$$ ? (d) $$\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}=$$ ?

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