99 Percentile Qs Bank for JEE MainMathematicsBasics of Mathematics
aligned & 1+x _e a+ x^2 2 ! ( _e a )^2 & + x^3 3 ! ( _e a )^3+ (a>0, x R) is equal to aligned
Options
- Aa
- Ba^x
- Ca^ _e x
- Dx
Correct answer
B. a^x
Step-by-step solution
We have, aligned & 1+x _e a+ x^2 2 ! ( _e a )^2+ x^3 3 ! ( _e a )^3+ & =1+ _e a^x+ 1 2 ! ( _e a^x )^2+ 1 3 ! ( _e a^x )^3+ & =e^ _e a^x =a^x aligned