Limits: True or False

Please help with the following problem. Provide step by step calculations.

True or false:

a)lim x--->2- f(x) = 3
b)limx--->2+ f(x) =0
c)lim x--->2- f(x) = lim x--->2+ f(x)
d) lim x--->2 f(x) exists
e) lim x--->4 f(x) exists
f) lim x--->4 f(x) = f(4)
g) f is continuous at x=4
h) f is continuous at x=0
i) lim x--->3 f(x) = lim x--->5 f(x)
j) f is continuous at x = 2

See attached file for diagram.

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