Question: Let (x) = 5x 2 . Show that (3 + h) = 5h 2 + 30h + 45. Then show that and compute (3) by

Let ƒ(x) = 5x2. Show that ƒ(3 + h) = 5h2 + 30h + 45. Then show that

f(3+h)-f(3) h 5h + 30

and compute ƒ(3) by taking the limit as h → 0.

f(3+h)-f(3) h 5h + 30

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