Find limit as x approaches -1 (x^2+2x+3)/(x^2+1)
A. 0
B. 1
C. Infinity
D. DNE
E. None of these
To find the limit as x approaches -1 of a rational function, you can simply evaluate the function at that value.
Plugging in x = -1 into the expression (x^2 + 2x + 3)/(x^2 + 1), we get:
((-1)^2 + 2(-1) + 3)/((-1)^2 + 1) = (1 - 2 + 3)/(1 + 1) = 2/2 = 1.
Therefore, the limit as x approaches -1 of the given function is 1.
So, the correct answer is B. 1.