Question: A function is defined by (x) = $\frac { 1 } { 2 ^ { \mathrm { r } - 1 } }$ , \(\frac { 1 } { ...

Question

A function is defined by (x) = $\frac { 1 } { 2 ^ { \mathrm { r } - 1 } }$ , $\frac { 1 } { 2 ^ { \mathrm { r } } }$ < x £, r = 1, 2, 3, …… then the value of dx is equal –

Answer 1

Solution

dx = dx = [2^–(r–1)– 2^–r]

=–

= $\left( 2 ^ { 2 } - 2 \right)$ $\sum _ { 1 } ^ { \infty } 2 ^ { - 2 r }$ = 2 . $\frac { 1 } { 4 }$ . $\frac { 1 } { 1 - 1 / 4 }$ = $\frac { 2 } { 3 }$

Question: A function  is defined by (x) = \(\frac { 1 } { 2 ^ { \mathrm { r } - 1 } }\) , \(\frac { 1 } { ...

Solution

Question: A function is defined by (x) = \(\frac { 1 } { 2 ^ { \mathrm { r } - 1 } }\) , \(\frac { 1 } { ...