Help with functions (calculus)?

First to answer the question correctly wins 10 points.

The following function is continuous at x =1

y = f(x) =

{(x^3-1)/(x^2-1) if x < 1 {square root (x + c)/2 if x equal to or greater than 1 Calculate the value of c a) 1.5 b) 2.0 c) 2.5 d) 3.0 e) 3.5

Top 1 Answers

A few days ago

atatz

Favorite Answer

f(1) = sqrt [(1+c)/2]

limit x—-> 1 (x^3-1)/(x^2-1) = 3/2 (use l’hopital rule)

then, f(1) = 3/2

9/4 = [(1+c)/2]

9/2 = 1+c

c = 7/2 = 3.5

So, the answer is e

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