AP EAMCET202022 Sep 2020Evening ShiftMathematicsLimitsActual
If f(x)= array cc 4 x-5, & x 2 x-k, & x>2 array . then the value of ' k ' if _ x 2 f(x) may exist is equal to
Options
- A–1
- B–2
- C1
- D2
Correct answer
A. –1
Step-by-step solution
Given, f(x)= array l 4 x-5, x 2 x-k, x>2 array . _ x 2 f(x) is exists when LHL at x=2= RHL at x=2 aligned 2 _ x 2⁻ f(x) & = _ x 2⁺ f(x) _ x 2⁻ 4 x-5 & = _ x 2⁺ x-k 4(2)-5 & =2-k 3 & =2-k k=-1 aligned Hence, option (1) is correct.