Let alpha, beta in R such that lim(x ->...

Let `alpha, beta in R` such that `lim_(x ->0) (x^2sin(betax))/(alphax-sinx)=1` . Then `6(alpha + beta)` equals

Text Solution

Verified by Experts

The correct Answer is:

7

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

LIMITS
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|9 Videos
LIMITS
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|5 Videos
LIMITS
ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
LOGARITHM AND THEIR PROPERTIES
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Let alpha,betainR be such that lim_(xto0) (x^(2)sin(betax))/(alphax-sinx)=1 . Then 6(alpha+beta) equals___________.

The value of lim_(x to 0) ("sin" alpha X - "sin" beta x)/(e^(alphax) - e^(beta x)) equals

If cot (alpha + beta) = 0 , then sin (alpha + 2 beta) is equal to

Let -pi/6 beta_1 and alpha_2 >beta_2 , then alpha_1 + beta_2 equals:

Find the value of x such that ((x+alpha)^n-(x+beta)^n)/(alpha-beta)=(sin (ntheta))/(sin^n theta) , where alpha and beta are the roots of the equation t^2-2t+2=0 .

Let alpha and beta be two roots of the equation x^(2) + 2x + 2 = 0 . Then alpha^(15) + beta^(15) is equal to

If x =cos alpha+cos beta-cos(alpha+beta) and y=4 sin.(alpha)/(2)sin.(beta)/(2)cos.((alpha+beta)/(2)) , then (x-y) equals

If tan alpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1) then alpha+beta equals

lim_(xto0) (sin(alpha+beta)x+sin(alpha-beta)x+sin2alphax)/(cos2betax-cos2alphax).x

If sin alpha+sin beta=a and cos alpha-cos beta=b then tan((alpha-beta)/2) is equal to-

ARIHANT MATHS ENGLISH-LIMITS-Exercise (Questions Asked In Previous 13 Years Exam)

Let alpha, beta in R such that lim(x ->0) (x^2sin(betax))/(alphax-sin...
09:59
|
about to only mathematics
07:00
|
Let f: RvecR be a continuous odd function, which vanishes exactly at o...
06:05
|
The largets value of non negative integer for which lim(x->1){(-a x+si...
06:06
|
Let L=("lim")(xvec0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. IfLi sfin i...
07:17
|
underset(xto(pi)/(2))lim(cotx-cosx)/((pi-2x)^(3)) equals
06:22
|
Let p=underset(xto0^(+))lim(1+tan^(2)sqrt(x))^((1)/(2x)). Then log(e)p...
02:26
|
lim(n -> oo) (((n+1)(n+2)(n+3).......2n) / n^(2n))^(1/n)is equal to
08:22
|
underset(xto0)lim(sin(picos^(2)x))/(x^(2)) is equal to
03:56
|
lim(xto0)((1-cosx)(3+cosx))/(x tan 4x) is equal to
03:01
|
If underset(xtooo)lim((x^(2)+x+1)/(x+1)-ax-b)=4, then
03:28
|
Let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...
05:02
|
If ("lim")(xvec0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,s mftheta in ...
04:36
|
The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)...
04:38
|
lim(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and ...
03:08
|
lim(x->0) (sin(nx)((a-n)nx – tanx))/x^2= 0, when n is a non-zero posit...
04:32
|
The integer n for which ("lim")(xvec0)((cosx-1)(cosx-ehatx)/(x^n) is f...
05:25
|
Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim(x->0)((f...
03:13
|
lim(x to oo) ((x-3)/(x+2)) is equal to :
02:32
|