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 =

∴