Consider Capacitors , With $n \rightarrow \infty$ If These Infinite Number of Capacitors Are Connected in {~F}

Multiple Choice

Consider capacitors $$c _ { 1 } = 1 \mathrm {~F} , c _ { 2 } = 4 \mathrm {~F} , c _ { 3 } = 9 \mathrm {~F} , c _ { 4 } = 16 \mathrm {~F} , \ldots , c _ { n } = n ^ { 2 } \mathrm {~F}$$ , with $n \rightarrow \infty$ . If these infinite number of capacitors are connected in parallel, the effective capacitance as seen by the source is

A) 0 F.
B) $\infty \mathrm { F } .$
C) $6 / \pi ^ { 2 } \mathrm {~F} .$
D) 3/7 F.