Application of DerivativeHard

Question

A particle begins at the origin and moves successively in the following manner as shown, 1unit to the right, 1/2 unit up, 1/4 unit to the right, 1/8 unit down, 1/16 unit to the right etc.The length of each move is half the length of the previous move and movement continuesin the ′zigzag′ manner indefinitely. The co-ordinates of the point to which the ′zigzag′converges is-
     

Options

A.(4/3. 2/3)
B.(4/3, 2/5)
C.(3/2, 2/3)
D.(2, 2/5)

Solution

Horizontal 1 +
Vertical

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