Question
Download Solution PDF equals
equals
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option 2.
Given:
Calculation:
⇒
⇒
⇒
We know log(1) = 0,
So, this the 0/0 form of the function
Now, we can apply L'Hospital's rule
⇒ In L'Hospital's rule, we differentiate the numerator as well denominator until the 0/0 form is eliminated.
⇒
When we put x = 0, again this function becomes 0/0.
Again apply L'Hospital's rule,
⇒
Now put x = 0
⇒
⇒
Hence, the value of the given function will be
Additional Information
- Product Rule: d/dx (uv) = u dv/dx + v du/dx
- Quotient Rule: d/dx (u/v) = ( v du/dx - u dv/dx)/v2
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