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The sum of the series 1+1/4.2!1/16.4!+1/...

The sum of the series `1+1/4.2!1/16.4!+1/64.6!+………to oo` is (A) `(e+1)/(2sqrt(e))` (B) `(e-1)/sqrt(e)` (C) `(e-1)/(2sqrt(e))` (D) `(e+1)/2sqrt(e)`

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The sum of the series 1+1/4.2!1/16.4!+1/64.6!+………to oo is (A) (e+1)/2sqrt(e) (B) (e-1)/sqrt(e) (C) (e-1)/+2sqrt(e) (D) (e-1)/sqrt(e)

The sum of series 1/2!+1/4!+16!+………. is (A) (e^2-1)/2 (B) (e^2-2)/e (C) (e^2-1)/(2e) (D) )(e-1)^2)/(2e)

The sum of the series 1/(2!)-1/(3!)+1/(4!)-... upto infinity is (1) e^(-2) (2) e^(-1) (3) e^(-1//2) (4) e^(1//2)

The sum of the series 1/(2!)-1/(3!)+1/(4!)-... upto infinity is (1) e^(-2) (2) e^(-1) (3) e^(-1//2) (4) e^(1//2)

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If xlog_e(log_ex)-x^2+y^2=4 then ((dy)/(dx))_(atx=e) is equal to (A) (2e+1)/ sqrt(4+e^2) (B) e/(2sqrt(4+e^2)) (C) (2e+1)/(2(4+e^2)) (D) (2e-1)/(2sqrt(4+e^2))

If xlog_e(log_ex)-x^2+y^2=4 then ((dy)/(dx))_(atx=e) is equal to (A) (2e+1)/ sqrt(4+e^2) (B) e/(2sqrt(4+e^2)) (C) (2e+1)/(2(4+e^2)) (D) (2e-1)/(2sqrt(4+e^2))

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