To determine

To Evaluate: limt→08t−5tt 

Answer

limt→08t−5tt =ln(85)

Explanation

Calculations:

limt→08t−5tt (00Form)Applying l'Hospital's Rule=limt→08tln8−5tln51=80ln8−50ln51=ln8−ln5=ln(85)

Conclusion: The value of the limit is limt→08t−5tt =ln(85)