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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Limits

NDA 2021 · Mathematics · Limits

What is _ x arrow-1 (x^3+x^2)/(x^2+3 x+2) equal to?

What is lim⁡x→−1x3+x2x2+3x+2\lim _{x \rightarrow-1} \frac{x^3+x^2}{x^2+3 x+2} equal to?

Options

  1. A00
  2. B11
  3. C22
  4. D33

Correct answer

B. 11

Step-by-step solution

lim⁡x→−1x3+x2x2+3x+2\lim _{x \rightarrow-1} \frac{x^3+x^2}{x^2+3 x+2} By L'Hospital rule, lim⁡x→−13x2+2x2x+3=3(−1)2+2(−1)2(−1)+3=3−2−2+3=1\lim _{x \rightarrow-1} \frac{3 x^2+2 x}{2 x+3}=\frac{3(-1)^2+2(-1)}{2(-1)+3}=\frac{3-2}{-2+3}=1
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