Ryan M. answered 01/18/20
A student who is
Because the limit is 0/0 (indeterminate) start by taking the derivative of the top and the bottom of the fraction.
lim (x→1) (√(x2 + 3) - 2) / (x - 1)
rewrite the square root as ^1/2.
((x2 + 3)1/2 - 2) / ( x - 1)
take the derivative
lim (x→1) (1/2 (x2 + 3)-1/2 * 2x) / (1) chain rule
lim (x→1) (2x) / (2√(x2 + 3)) simplify
plug in 1 for x
(2(1)) / (2 √ (12 + 3)
2 / (2√4)
1/√4
1/2

Ryan M.
Thank you for pointing that out. Corrected the answer.01/18/20
Arturo O.
I just want to point out a typo in the line just below "take the derivative." The 2x should be multiplied, not added. The solution is correct.01/18/20