Question

Select the correct answer.

Answer 1

B

Explanation:

With limits, the first thing one should always try is direct substitution. Therefore, let's try that.

`\lim_(x \to 1) ((x^2+1)/(x+1)+x^2+3) \\= (((1)^2+1)/((1)+1)+(1)^2+3) \\=(2)/(2)+1+3\\ =1+4=5`

Therefore:

`\lim_(x \to 1) ((x^2+1)/(x+1)+x^2+3) =5`