81). The series \(\Large \sum\limits_{n=1}^{\infty}\left[ (-1)^{2}/(2n-1) \right]\) is
| A). convergent |
| B). divergent |
| C). unbounded |
| D). none of these |
|
82). The series \(2+4+6+8+...\) is
| A). convergent |
| B). divergent |
| C). unbounded |
| D). none of these |
|
83). The series \(\Large \sum\limits_{n=1}^{\infty}\frac{n!}{n^{n}}\) is
| A). convergent |
| B). divergent |
| C). unbounded |
| D). none of these |
|
84). The sequenc \(\Large \{ \frac{1}{n} \}\)
| A). unbounded and convergent |
| B). bounded and convergent |
| C). bounded and divergent |
| D). unbounded land divergent |
|
85). The derivative of the function \(f(x) =x^{2m}\) is
| A). Even function |
| B). Odd function |
| C). Constant function |
| D). None of these |
|
86). The derivative of the function f(x) = sin nx is
| A). Odd function |
| B). Constant functidn |
| C). Eveh function |
| D). none of these |
|
87). The function sin \(x^{n}\) is
| A). Differentiable |
| B). Non-Differentiable |
| C). Discontinuous |
| D). None of these |
|
88). Let A and B be any two sets. If there exists a 1-1 correspondence between the sets A and B, then A and B are called ___.
| A). countable |
| B). equivalent |
| C). finite |
| D). none of these |
|
89). If A and B are equivalent and B and C equivalent then
| A). A and C are not equivalent |
| B). A and C are equivalent |
| C). B and A are not equivalent |
| D). None of these |
|
90). A set which is not finite is called ____.
| A). an infinite set |
| B). denumerable set |
| C). countable set |
| D). none of these |
|
