Answer
$\lim\limits_{t \to \infty}6[\ln(10+\frac{1}{t})]\approx13.816$
Work Step by Step
Numerical Estimation:
For $t=500$; $6[\ln(10+\frac{1}{500})]\approx$13.8167
For $t=5500$; $6[\ln(10+\frac{1}{5500})]\approx$13.8156
For $t=10500$; $6[\ln(10+\frac{1}{10500})]\approx$13.81556
For $t=15500$; $6[\ln(10+\frac{1}{15500})]\approx$13.815549
For $t=20500$; $6[\ln(10+\frac{1}{20500})]\approx$13.815539
