# Evaluate the following limits: As we need to find We can directly find the limiting value of a function by putting the value of the variable at which the limiting value is asked if it does not take any indeterminate form (0/0 or ∞/∞ or ∞-∞, .. etc.)

Let Z = We need to take steps to remove this form so that we can get a finite value.

TIP: Most of the problems of logarithmic and exponential limits are solved using the formula and As Z = To apply the formula of logarithmic limits we need to get the form that matches with one in formula

We proceed as follows-

Z = Z = Z = To apply the formula of logarithmic limit we need denominator

multiplying in numerator and denominator

Hence, Z can be rewritten as-

Z = Z = {Using algebra of limits}

Z = As, x0 Let, Z = Use the formula: Z = Hence, Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 