Question

8. If f(x) = sin(x) and g(x) = x than find value of limx -- 0 f(x)g(x)
a)-1
b) O
c) 1
d) 2​

Answer 1

Answer:

sinxx=0 ⇔ x=kπ for k∈Z with k≠0. sinxx is an entire function. That is it is holomorphic at all finite points in the complex plane (taking its value at x=0 to be 1 ).

c is correct.....