# 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 xa x/a 1

x/a – 1 0

Let, (x/a)-1 = y

y0

Hence, Z can be rewritten as-

Z Use the formula: Z Hence, Rate this question :

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