\text { Given } f(x)=\left\{\begin{array}{l} \ln (x)+1, \quad x<1 \\ 0 \quad \text { if } x=1 \\ x^{2}, \quad x>1 \end{array}\right. Sketch f(x) (4 points) b. \text { Find } \lim _{x \rightarrow 1} f(x) c. Determine if the graph is continuous at 1

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