Question

find the value of 1/2^3×-4/2^3​

Answer 1

Answer:

Ans: sum is 1/4.

Step-by-step explanation:

Let S=1-2+3-4+5-6+……………..infinity. Let us S with S while keeping the terms one step forward.

S= 1-2+3-4+5-6+7-………………….…infinity. So,S=1-2+3-4+5-6………………………infinity now, 2S=1-1+1-1+1………………………infinity or, 2S=1-(1-1+1-1+1-…………………..infinity) or, 2S=1-2S, or, 4S=1, or, S=1/4.