# 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 ∞-∞,1 .. etc.)

Let Z = As it is taking indeterminate form-

we need to take steps to remove this form so that we can get a finite value.

Z = Take the log to bring the power term in the product so that we can solve it more easily.

Taking log both sides-

log Z = log Z = { log am = m log a}

using algebra of limits-

log Z = log Z = log Z = As, 1-cos x = 2sin2(x/2)

log Z = Let (x-1)/2 = y

As x1 y0

Z can be rewritten as

Log Z = log Z = Use the formula - log Z = log Z = Z = Hence, Rate this question :

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