Question

evaluate the following limits by L hospital rule
Lt x-->0 log (1 - x) cotπx/2. d​

Answer 1

Answer:

Step-by-step explanation:

first we will rewrite question as log (1-x)cos(pie x /2)/sin(pie x/2)

differentiating numerator and denominator  w r t x

(1/1-x)(-1)cos(pie x/2)+log(1-x)(-sin(pie x/2)) / cos pie (x/2)

substitute x=1

you get 0