Home
Class 12
MATHS
("lim")(xvecoo)((n^2)/(n^2))^(n(n-1)i se...

`("lim")_(xvecoo)((n^2)/(n^2))^(n(n-1)i se q u a lto` e (b) `e^2` (c) `e^(-1)` (d) 1

A

`e`

B

`e^(2)`

C

`e^(-1)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The value of ("lim")_(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))/n]i s 1 (b) 0 (c) e-1 (d) e+1

("lim")_(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/2 (d) 1

lim_(n rarr oo)(e^(2n)(n!)^(2))/(2n^(2n+1))

L e tI_1=thetaint_0^1(e^xdx)/(1+x)a n dI_2thetaint_0^1(x^2dx)/(e^x^3(2-x^3))dott e h n(I_1)/(I_2)i se q u a lto 3/e (b) e/3 (c) 3e (d) 1/(3e)

" (e) "lim_(n rarr oo)[(n!)/(n^(n))]^(1/n)

lim_ (n rarr oo) (n) / ((n!) ^ ((1) / (n))) is equal to (i) e (ii) (1) / (e) (iii) 1 (iv) int (0rarr1) ln xdx

lim_(x rarr oo)n^(2)(x^((1)/(n))-x^((1)/((n+1)))),x>0, is equal to (a)0(b)e^(x)(c)(log)_(e)x(d) none of these

Lt_(nrarroo)((n!)/n^n)^(1/n)= (A) e^(-2) (B) e^(-1) (C) e^3 (D) e

(lim)_(nvecoo)1/x[int_y^a e^(sin^2t))dt-int_(x+y)^a e^(sin^2t))dt-]i se q u a lto (0,1] (b) [1,oo) (0,oo) (d) none of these

Lt_(nrarroo) {(n!)/(kn)^n}^(1/n), k!=0 , is equal to (A) k/e (B) e/k (C) 1/(ke) (D) none of these