Teaching UP TGT Mock Test Series 2025 Mathematics Limit and Continuity Evaluation of Limits

The value of \(\displaystyle \lim_{\mathrm{x}\rightarrow 0} \frac{1}{x^{3}} \int^{x}_{0} \frac{t \ln (1+t)}{t^{4}+4}dt\) is

1
\(0\)
2
\(\dfrac{1}{12}\)
3
\(\dfrac{1}{24}\)
4
\(\dfrac{1}{64}\)
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