Evaluate the limit of the function [(3+h)^2-9]/h, if h approaches to 0.

Expert Answers

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We have to find the value of lim h-->0[[(3+h)^2-9]/h]

lim h-->0[[(3+h)^2-9]/h]

=> lim h-->0[[(3 + h - 3)(3 + h + 3)/(3 + h - 3)]

cancel (3 + h - 3)

=> lim h-->0[[(3 + h + 3)]

substitute h = 0

=> 6

The required value of lim h-->0[[(3+h)^2-9]/h] = 6

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