AP EAMCET · Maths · Limits
\(\lim _{x \rightarrow-a} \frac{x^7+a^7}{x+a}=7 \Rightarrow a=\)
- A \(\pm 7\)
- B \(\pm 6\)
- C \(\pm 1\)
- D \(\pm 2\)
Answer & Solution
Correct Answer
(C) \(\pm 1\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & =\lim _{x \rightarrow-a} \frac{x^7+a^7}{x+a}=7 \\ & \Rightarrow \quad 7(-a)^6=7 \\ & \Rightarrow \quad(-a)^6=1 \\ & \Rightarrow \quad-a= \pm 1 \\ & \Rightarrow \quad a= \pm 1 \\ & \end{aligned}\)
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