Question

the period of sin(1+1/2+1/4+....to∞)X is
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Answer 1

Step-by-step explanation:

sin(1+1/2+1/4+....+infinity)x

1, 1/2, 1/4... is in Geometric progression

sum of infinite terms in G.p is a/1-r

so... common ratio = 1/2 a= 1

1÷1-1/2

that is equal to sin2x

we know that..

period of sin is 2π

therefore, period of sin 2x= 2π/2 = π