Q. 35.0( 1 Vote )

Evaluate the following limits:


Answer :

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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