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please solve A and B and sketch a graph. Thank you!

2. (a) Sketch a graph of the function: $f(x)=????2?xx44?x?ifififif?x<?1?1?x<1x=1x>1??$. (b) Use the formula for $f$ from part (a) to determine the value of each of the following limits, if they exist. (i) $x??1_{?}lim?f(x)$ (ii) $x??1_{+}lim?f(x)$ (iii) $x??1lim?f(x)$ (iv) $x?1_{?}lim?f(x)$ (v) $x?1_{+}lim?f(x)$ (vi) $x?1lim?f(x)$

we observe that i.)limx??1?f(x)=3ii.)limx??1+