# 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 limits.

As Z = Z = Z = {using properties of exponents}

Z = {using algebra of limits}

Z = Z = As, x (π/2)

cot(π/2) – cos(π/2) 0

Let, y = cot x – cos x

if xπ/2 y0

Hence, Z can be rewritten as-

Z = Use the formula: Z = log a

Hence, Rate this question :

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