Let g(x)= (x-1)^ n ^ m (x-1) ; 0 x m and n are integers, m ≠ 0, n > 0, and let p be the…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let \(g(x)=\frac{(x-1)^{n}}{\log \cos ^{m}(x-1)} ;\)0 < x < 2, m and n are integers, m ≠ 0, n > 0, and let p be the left hand derivative of |x – 1| at x = 1. If \(\lim _{x \rightarrow 1^{+}} g(x)=p\) then
- n = 1, m = 1
- n = 1, m = –1
- n = 2, m = 2
- n > 2, m = n
Answer
(B) n = 1, m = –1
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