Q. 16

# 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 It also involves a trigonometric term, so there is a possibility of application of Sandwich theorem- As Z To get the desired form to apply the formula we need to divide numerator and denominator by x.

Z Using algebra of limits, we have-

Z Use the formula: and Z = { log e = 1}

Z = 2

Hence, Rate this question :

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