#lim_(xto1) (sinpix)/(x-1)# ?
2 Answers
Explanation:
The value of
Given:
In accordance with L'Hôpital's rule, differentiate both the numerator and the denominator:
The rule states that the limit of the original expression goes to the same value:
Explanation:
Let
Then,
By the sine addition rule,
Then,
The limit of
Then,