Quantrex Academy · Free BITSAT PYQ solutions
BITSAT Mathematics Limits 2024 BITSAT 2024 (Memory Based Paper 2)

BITSAT Mathematics Question (2024) — Solution

Question

Given a real valued function ' f ' such that f(x)= \ array cc ^2\ x\ x^2-[x]^2 & for x 0 \\ 1 & for x=0 \\ \ x\ \ x\ & for x 0 array . then

Options

  1. A. LHL =1
  2. B. RHL = 1
  3. C. _ x 0 f(x) exist
  4. D. _ x 0 f(x) does not exists

Answer

D. _ x 0 f(x) does not exists

Step-by-step solution

_ x 0^ - f(x)= _ h 0 \ -h\ \ -h\ = _ h 0 (1-h) (1-h) = 1 _ x 0^ + f(x)= _ h 0 ^2\ h\ h^2-[h]^2 = _ h 0 ^2 h h^2 =1 _ x 0 f(x) does not exist.

Practice more on Quantrex App →

Related: Mathematics — Limits · All PYQ Banks