(2) Show that lim_{x \to x_0} f(x) = L if and only if lim_{x \to 0} f(x+x_0) = L. Assume x_0 and L are finite.

(3) Show that if lim_{x \to x_0} f(x) = L and E is a set which has x_0 as an accumulation point, then lim_{x \to x_0, x in E} f(x) = L. Give an example to show that the converse may fail. Assume x_0 and L are finite.

can anyone solve any of these?