Q. 7

# 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

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,

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