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Use the definition of continuity to show that each of the following functions continuous at the given value of x. a. g(x) = x(x²-3x + 5) at x = 0 stars, ed) to as bon well x²-4 b. f(x) = (x²+4x+4)(x²+2x+1) at x = 2 c. g(x) = √2-x at x = -1 3x²-1

Explain why the following functions are not continuous at the given number. State the type of discontinuity. a g(x) = at x = 2 (x²-x-2) b. h(x) = = x²+4x+3 x²-x-2 at x = -1 c. f(x) = (3 (3x-1, x ≤ 2, 2x, x > 2 at x = 2 Find any points of discontinuity. State the type of discontinuity, and explain your conclusions. x-5,x≤-1 f(x)=x²-1 < x < 2 3x + 2x > 2