(1/32)+(1/33)+……+(1/62)+(1/63) is including in which of the following ranges?  Select
A) 2  B) 1  C) 1/2~1  D) 1/2  E) 3
Number of terms in the given series = 32.   The lowest term is 1/63 , the largest being 1/32.   Thus, the sum of the given series will be more than   1/63 + 1/63.....1/63 (32 times)   ---&gt; 32*(1/63) = 32/63   less than 1/32 + 1/32...... 1/32 (32 times)   ---&gt; 32*(1/32) = 32/32= 
<gadget id="calculator">32/32</gadget>
<output>1</output>
1 (approx)   1/2~1 is thus the correct answer.
<result>C</result>
(1/32)+(1/33)+……+(1/62)+(1/63) is including in which of the following ranges?