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.

As, Z =

⇒ Z =

Taking log both sides-

⇒ log Z =

⇒ log Z =

{∵ log a^m = m log a}

Now it gives us a form that can be reduced to

Dividing numerator and denominator by tan²√x –

log Z =

using algebra of limits –

Let, tan²√x = y

As x→0⁺⇒ y→0⁺

∴ A =

Use the formula -

∴ A = 1

Now, B =

⇒ B =

Use the formula -

∴ B = 2

Hence,

log Z =

⇒ log_e Z = 1/2

∴ Z = e^1/2

Hence,