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

Using Algebra of limits-

We have-

Z

Use the formula:

∴ Z = log 4 × log 2

∵ log 4 = log 2² = 2log 2

{using properties of log}

∴ Z = 2(log 2)²

Hence,