JEE Main & Advanced
Mathematics
Differentiation
Question Bank
Numerical Value Type Questions - Limit
question_answer
Let\[f\left( x \right)=3{{x}^{10}}-7{{x}^{8}}+5{{x}^{6}}-21{{x}^{3}}+3{{x}^{2}}-7\]. Then find the value of \[\underset{h\to 0}{\mathop{\lim }}\,\frac{f\left( 1-h \right)-f\left( 1 \right)}{{{h}^{3}}+3h}.\]