Q. 35.0( 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

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

Note: While modifying be careful that you don’t introduce any zero terms in the denominator

As Z =

As, a2 – b2 = (a+b)(a-b)

Z =

Z =

Z =

Z =

Multiplying cosec x + 2 to both numerator and denominator-

Z =

Z =

As, cosec2x – 1 = cot2 x

Z =

Z =

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