Q. 275.0( 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 It also involves a trigonometric term, so there is a possibility of application of Sandwich theorem- As Z = To apply the formula of logarithmic limits we need to get the form that matches with one in formula

dividing numerator and denominator by x3

Z = Z = Z = {using algebra of limits}

Use the formula: and Z = 1/1

Hence, Rate this question :

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