Q. 93.5( 8 Votes )
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–
Dividing numerator and denominator by (x–4),we get
Using algebra of limits, we have –
Use the formula:
∴ Z =
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