Question:
If y = x + x2 + x3 + … ∞ where |x| < 1, then x = ?
If y = x + x2 + x3 + … ∞ where |x| < 1, then x = ?
Options:
- 1/y
- y / (1 – y)
- y / (1 + y)
- (1 + y)/y
- 1/y
- y / (1 – y)
- y / (1 + y)
- (1 + y)/y
Correct Answer: c)
Explanation:
1
‘ Here,y=x(1 +x+x+..00)=2- ries sum of infinite GP
=0-0y=x=y-xy=x=y=xtxy=x(l+y)
_
‘ TEE Ty ‘
110.
—r
1
‘ Here,y=x(1 +x+x+..00)=2- ries sum of infinite GP
=0-0y=x=y-xy=x=y=xtxy=x(l+y)
_
‘ TEE Ty ‘
110.
—r