Home
Class 11
MATHS
If lim(x->oo)(x^2+3x+5)/(4x+1+x^k) exist...

If `lim_(x->oo)(x^2+3x+5)/(4x+1+x^k)` exists then K (a)`k =2` (b) `k<2` (c) `k >2` (d) `k >=2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    RESONANCE DPP ENGLISH|Exercise All Questions|3 Videos
  • PERMUTATIONS AND COMBINATIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|3 Videos

Similar Questions

Explore conceptually related problems

lim_(x->1 (k^2/logx -k^2/(x-1))

If (x-4)/(x^(2)-5x-2k)=(2)/(x-2) - (1)/(x+k) , then find k ?

The value of int_0^1lim_(n->oo)sum_(k =0)^n(x^(k+2)2^k)/(k!)dx is: (a) e ^(2) -1 (b) 2 (c) (e ^(2)-1)/(2) (d) (e ^(2) -1)/(4)

If lim_(x to 1) (x^(3) - 1)/(x - 1) = lim_(x to k) (x^(4) - k^(4))/(x^(3) - k^(3)) , find the value of k.

Find k so that ("lim")_(x->2)\ f(x) may exist, where f(x)={2x+3,\ xlt=2\ and x+k , x >2

If one zero of the polynomial f(x)=(k^2+4)x^2+13 x+4k is reciprocal of the other, then k= (a) 2 (b) -2 (c) 1 (d) -1

If lim_(x to 2) (x - 2)/(""^(3)sqrt(x) - ""^(3)sqrt(2)) = lim_(x to k) (x^(2) - k^(2))/(x - k) find the value of K

If lim _(xto oo) (sqrt( x ^(2) -x+1)-ax -b)=0, then for k ge 2, (k in N ) lim _(xto oo) sec ^(2n) (k ! pi b ) =

Match the following : {:("Column I ", " Column II" ), ("(A)" if lim_(x to 1) (1-x) tan""(pix)/2 = k " then " sin (1/k) " is" , "(p)"4),( "(B)" if lim_(x to 5) (x^(k)-5^(k))/(x-5) = 500 " then k is " , "(q)" 1),("(C)" lim_(x to oo)(1 + 4/(x+1))^((3x-1)/3) " is equal to " e^(k) " , then k is" , "(r) A perfect sqare"), ("(D) " d^(20)/(dx^(20)) (2 cos x"," cos 3x)= 2^(4k) [ cos2x + 2^(20) . cos4k]" then k is " , "(s)" 5),(, "(t)An odd number"):}

If f(x)={([3+|x-k| ,x k]) has minimum at x=k,then (a )|a| 2 (d) |a|>=2