Mathematics - Definite Integration Question with Solution | TestHub

Let$f:R\to R$be a continuous and differentiable function such that$f\left(2\right)=6$and$f^{\text{'}}\left(2\right)=\frac{1}{48}$. If${\int }_6^{f\left(x\right)}4t^{3}dt=\left(x-2\right)g\left(x\right),$then$\underset{x\to 2}{\mathrm{l}\mathrm{i}\mathrm{m}}g\left(x\right)$is equal to