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.)
∴ 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 formula, we move as follows-
Let 1/x = y
As x→∞ ⇒ y→ 0
∴ Z can be rewritten as-
Use the formula:
∴ Z =
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