Q. 83.8( 6 Votes )

Evaluate the foll

Answer :

We need to find the limit for:


As limit can’t be find out simply by putting x = 4 because it is taking indeterminate form(0/0) form, so we need to have a different approach.


Let, Z =


Note: To solve the problems of limit similar to one in our question we use the formula mentioned below which can be derived using binomial theorem.


Formula to be used:


As Z does not match exactly with the form as described above so we need to do some manipulations–


Z =


Dividing numerator and denominator by (x–4),we get


Z =


Using algebra of limits, we have –


Z =


Use the formula:


Z =


Hence,


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