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BITSAT Mathematics Limits 2024 BITSAT 2024 (Memory Based Paper 1)

BITSAT Mathematics Question (2024) — Solution

Question

Let f(x)= x, g(x)= x, h(x)=x^2 then _ x 1 f(g(h(x)))-f(g(h(1))) x-1 =

Options

  1. A. 0
  2. B. -2 1 ( 1)
  3. C.
  4. D. -2 1 1

Answer

B. -2 1 ( 1)

Step-by-step solution

Given f(x)= x, g(x)= x, h(x)=x^2 _ x 1 f(g(h(x)))-f(g(h(1))) x-1 When limit it applied, it gives 0 0 form, so we apply L'Hospital rule. _ x 1 ( x^2 ) (- x^2 )(2 x)-0 1-0 Apply the limit, -2(1) (1) ( 1) =-2 (1) ( 1)

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