Home
Class 12
MATHS
For agt0, let l=lim(xto(pi)/2)(a^(cotx)-...

For `agt0,` let `l=lim_(xto(pi)/2)(a^(cotx)-a^(cosx))/(cotx-cosc)` and `m=lim_(xto-oo)(sqrt(x^(2)+ax))-(sqrt(x^(2)-ax))` then

A

`l gtm` for all `a gt0`

B

`l gtm` only when `age1`

C

`lgtm` for all `agte^(-a)`

D

`e^(l)+m=0`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|3 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|40 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

>0,"l e t"& ell=lim_(x->pi/2)(a^(cotx)-a^(cosx))/(cotx-cosx)"and"m=lim_(x->-oo)(sqrt(x^2+a x)-sqrt(x^2-a x)) cot xcOS x16R cotx-cos y and m= LimxFor a > 0, let = Limax then-+ax-(A)is always greater than 'm' for all values of a >0(B) 'is always greater than 'm' only when a 21(C) 'e is always greater than 'm' for all values of 'a' satisfying a > e(D) e'+ m 0awepowivnaar noe s1021lauspo

lim_(xrarrpi//2)(a^(cotx)-a^cosx)/(cotx-cosx)a gt 0 is equal to

If lim_(x rarr-oo)(sqrt(x^(2)-ax)-x)=(1)/(2) then a=

Evaluate lim_(xto (pi^(-))/(2)) (cosx)^(cosx).

lim_(xto oo)(x/(1+x))^(x) is

lim_(xto0)(a^x-1)/(sqrt(a+x)-sqrta) is

The lim_(xto(pi)/2)(cot x-cosx)/((pi-2x)^(3)) equals

lim_(x rarr oo)(sqrt(x^(2)-x+1)-ax-b)=0, then a+b=

Evaluate lim_(xto0) (sqrt(2+x)-sqrt(2))/(x).