Piecewise Function Use the graph above to find the following…

Piecewise Function Use the graph above to find the following values, or indicate that they do not exist or are undefined and explain why. For full credit you should use appropriate mathematical notation.  (a) lim x → 1 – f ( x ) \lim_{x\rightarrow 1^-}{f(x)} (e) lim x → 2 – f ( x ) \lim_{x\rightarrow 2^-}{f(x)} (i) lim x → 3 – f ( x ) \lim_{x\rightarrow 3^-}{f(x)} (b) lim x → 1 + f ( x ) \lim_{x\rightarrow 1^+}{f(x)} (f) lim x → 2 + f ( x ) \lim_{x\rightarrow 2^+}{f(x)} (j) lim x → 3 + f ( x ) \lim_{x\rightarrow 3^+}{f(x)}    (c) lim x → 1 f ( x ) \lim_{x\rightarrow 1}{f(x)} (g) lim x → 2 f ( x ) \lim_{x\rightarrow 2}{f(x)} (k) lim x → 3 f ( x ) \lim_{x\rightarrow 3}{f(x)} (d) f ( 1 ) f(1) (h) f ( 2 ) f(2) (l) f ( 3 ) f(3)

Evaluate each of the following limits, showing your work to…

Evaluate each of the following limits, showing your work to justify the answer either algebraically or in terms of a known limit. If the limit is indeterminate, give the type; if the limit does not exist, indicate why.(a) limx→2×2-5x+6x-2\lim_{x\rightarrow 2}\frac{x^2-5x+6}{x-2}(c) limx→0sin(3x)5x\lim_{x\rightarrow 0}\frac{\sin(3x)}{5x}(b) limx→43x-12x-2\lim_{x\rightarrow 4}\frac{3x-12}{\sqrt{x}-2}(d) limx→3-2xx-3\lim_{x\rightarrow 3^-}\frac{2x}{x-3}