MCQ
`lim_{n→∞}[1/(n^2 + 1) + 2/(n^2 + 1) + 3/(n^2 + 1) + .... + n/(n^2 + 1)]` = ______
  • A
    1
  • B
    2
  • C
    0
  • `1/2`

Answer

Correct option: D.
`1/2`
D

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The surface charge density of an irregular shaped conductor is ____________.
If `((11 - "n")!)/((10 - "n")!) = 9,`then n = ______.
Three identical rods each of mass 'M' and length 'L' are joined to form a symbol 'H'. The moment of inertia of the system about one of the sides of 'H' is ______.
Identify the reagent A used in the following conversion.$\ce{Phenol ->[A] Benzoquinone}$
Sodium crystallizes in bcc structure with radius $1.86 \times 10^{−8} \ cm.$ What is the length of unit cell of sodium?
Which of the following set correctly represents members of Hominoidea?
The velocities of a particle performing linear S.H.M are 0.13 m/s and 0.12 m/s, when it is at 0.12 m and 0.13 m from the mean position respectively. If the body starts from mean position, the equation of motion is ____________.
If the maximum kinetic energy of emitted electrons in photoelectric effect is $3.2 \times 10^{-19} J$ and the work-function for metal is $6.63 \times 10^{-19} J$, then stopping potential and threshold wavelength respectively are
[Planck's constant, $\left.h =6.63 \times 10^{34} J - s \right]$
[Velocity of light, $c =3 \times 10^8 \frac{ m }{ s }$ ]
[Charge on electron $=1.6 \times 10^{-19} C$ ]
Long photoperiods required for flowering can be reduced by the application of which hormone?
Two small conducting spheres of equal radius have charges $+10 \mu C$ and $-20 \mu C$ respectively and placed at a distance $R$ from each other experience force $F_1$. If they are brought in contact and separated to the same distance, they experience force $F_2$. The ratio of $F_1$ to $F_2$ is...............