AP EAMCET · Maths · Limits
\(\lim _{x \rightarrow 0} \frac{\left(1+\frac{x}{2}\right)^{5 / 7}-1}{x}=\)
- A \(\frac{5}{7}\)
- B \(\frac{10}{7}\)
- C \(\frac{5}{14}\)
- D \(\frac{5}{17}\)
Answer & Solution
Correct Answer
(C) \(\frac{5}{14}\)
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow 0} \frac{\left(1+\frac{x}{2}\right)^{5 / 7}-1}{x}\) Here, Limit is \(\div\) form, so we can apply L-Hospital rule…
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