Let f(a)=g(a)=k and their n th derivatives f n (a), g n (a) exist and are not equal for…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let \(f(a)=g(a)=k\) and their nth derivatives fn (a), gn (a) exist and are not equal for some n. Further, if \(\lim _{x \rightarrow a} \frac{f(a) g(x)-f(a)-g(a) f(x)+g(a)}{g(x)-f(x)}=4\), then the value of k is equal to
- 4
- 2
- 1
- 0
Answer
(A) 4
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