COMEDK · Maths · 16. Limits
\(\text { The value of } \lim _\limits{x \rightarrow 1} \dfrac{x^{15}-1}{x^{10}-1}=\)
- A 1
- B Does not exist
- C \(\dfrac{2}{3}\)
- D \(\dfrac{3}{2}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{3}{2}\)
Step-by-step Solution
Detailed explanation
The limit is of the form \(\dfrac{0}{0}\) as \(x \rightarrow 1\). Using L'Hopital's rule, we differentiate the numerator and the denominator with respect to \(x\):…
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