MHT CET202313 May 2023Morning ShiftMathematicsLimitsActual
If f (x)=3 x¹⁰-7 x^8+5 x^6-21 x^3+3 x^2-7 , then _ 0 f(1- )-f(1) ^3+3 =
Options
- A53 3
- B-53 3
- C52 3
- D-52 3
Correct answer
A. 53 3
Step-by-step solution
aligned & f (x)=3 x¹⁰-7 x^8+5 x^6-21 x^3+3 x^2-7 & f ^ (x)=30 x^9-56 x^7+30 x^5-63 x^2+6 x & f ^ (1)=30-56+30-63+6=-53 aligned Now, _ 0 f(1- )-f(1) ^3+3 aligned & =- _ 0 f(1- )-f(1) (1- )-1 1 ^2+3 & =-f^ (1) 1 3 = 53 3 aligned