Math Chapter Wise

EnglishUP PCS (Pre) 2004, 2007

Q41.The series 2 2 2 2 2 2 (log 2) (log 3) (log 4)........ 2 3 4 is

Aconvergent Bdivergent Coscillatory Dnone of the above

Show answer

EnglishUP PCS (Pre) 2004

Q42.The infinite series P 1 n is convergent if P:

A1/2 B1 C< 1 D> 1

Show answer

EnglishUP PCS (Pre) 2006

Q43.For the series n n 1 u ∞ = ∑ ∑ of positive term u, let n x n 1 u limn u →∞ + = ℓthen which of the following is true:

AThe series is convergent of l > 1 BThe series is convergent of l < 1 CThe series is convergent of l = 1 DNone of the above

Show answer

EnglishUP PCS (Pre) 2006

Q44.The series 2 2 2 2 3 4 1.... 2! 3! 4! + + + + + + + + + + + + + + + + is:

Adivergent Bconvergent Cconditionally convergent Doscillatory

Show answer

EnglishUP PCS (Pre) 2008

Q45.When x = 1, the series 2 3 x x x + + +.........is 1.2 2.3 3.4

Adivergent Bconvergent Coscillatory Dconditionally convergent

Show answer

EnglishUP PCS (Pre) 2008

Q46.The series 1 1 1 + +........ +.......is log2 log3 logn:

Aconvergent Bdivergent Cneither convergent nor divergent Doscillatory

Show answer

EnglishUP PCS (Pre) 2008

Q47.The series∑ p p+α n (n +1) is convergent if and only if

A1 α = B1/α < C1/α > D0 α =

Show answer

EnglishUP PCS (Pre) 2008

Q48.The series 2 3 4 5 + + + +......is 1 2 3 4:

Adivergent Bconvergent Cconditionally convergent Doscillatory

Show answer

EnglishUP PCS (Pre) 2008

Q49.The series 1 3 5 + + +......is 1.2.3 2.3.4 3.4.5:

Aconvergent Bdivergent Cconditionally convergent Doscillatory

Show answer

EnglishUP PCS (Pre) 2009

Q50.The series ∞ ∑ n n=1 1 is n

Aconvergent Bdivergent Coscillatory DNone of the above

Show answer

EnglishUP PCS (Pre) 2009

Q51.The series........... 2! 3! + + 2 3 x x 1+ x + is convergent for:

Aall values of x Bfor x<1 only Cfor x>1 only Dfor x = 0 only

Show answer

EnglishUP PCS (Pre) 2009

Q52.Consider following two sequences: I: {an} where n (1) a n − = II: {bn}where (((()))) 2 n b n 1 n = + − = + − = + − = + − then

AI is convergent, but II is divergent BII is convergent, but I is divergent Cboth I and II are convergent Dboth I and II are divergent

Show answer

EnglishUP PCS (Pre) 1997

Q53.The series n n 1 n 2 ∞ = ∑ ∑ is:

AOscillatory BDivergent CConvergent DNone of these

Show answer

EnglishTGT 2010

Q54.Which of the following statements is false

AEvery Cauchy sequence in R is convergent BEvery convergent sequence is a Cauchy sequence CEvery bounded sequence is a convergent DEvery Cauchy sequence is a bounded

Show answer