Let f be a function defined for all x, and continuous at all values of x except at -2 and 0. bx² + x x²-b Moreover, suppose that the following is for all x > 10 we have that b ≤ f(x) ≤. lim_f(x) = 3, x 2 lim f(x) = f(-2) = 1, lim f(x) = f(0) = -b, x 2+ x-0 lim f(- lim f(x). x->0+ (a) Does there always exist a value c on the interval (-3,0) such that f(c) = 0? Justify (b) Does there always exist a value c on the interval (-1,1) such that f(c) = 0? Justify (c) Evaluate the following limit:

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