# Evaluate the foll

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

This question is a direct application of limits formula of exponential and logarithmic limits.

To get similar forms as in a formula, we move as follows-

As x2 x-2 0

Let x-2 = y

Z =

We can’t use the formula directly as the base of log is we need to change this to e.

Applying the formula for change of base-

We have-

Z =

Use the formula:

Z =

Hence,

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