Q. 355.0( 1 Vote )

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

As Z = Z = {Adding and subtracting 1 in numerator}

Z = {using algebra of limits}

To get the form as present in the formula we multiply and divide 3 and 2 into both terms respectively:

Z = Use the formula: Z = 3log e – 2log e= 3-2 = 1

{using log e = 1}

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