If m , n in N ,("lim")(xvec0)(sinx^n)/(...

If `m , n in N ,("lim")_(xvec0)(sinx^n)/((sinx)^m)i s` (a) 1, if n=m (b) 0, if n>m

Text Solution

AI Generated Solution

Topper's Solved these Questions

DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos
LINEAR INEQUALITIES
CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If m,n inN,lim_(xto0) (sinx^(n))/((sinx)^(m)) is

Evaluate ("lim")_(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

If m,n in I^(+) , then lim_(x to 0) ("sin"x^(n))/(("sin"x)^(m)) equals

If l =lim_(xrarr0) (tanx^(n))/((tanx)^m) , where m,n in N , then

Find lim_( x to 0) (sin x^(n))/((sin x)^(m)) " where" , m , n in Z^(+) equal

lim_(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n//m (d) none of these

Evaluate: ("lim")_(xvec0)(a^(tanx)-a^(sinx))/(tanx-sinx),a >0

lim_(x->0)(sinx)^n/(sinx)^m,(mltn), is equal to (a)1 (b) 0 (c) n//m (d) none of these

(lim)_(x->0)(1-cos^n(1-cosx)/(tan^m x))=1 . Then ( n - m ) is :

Consider f(x) = lim_(x-oo)(x^n-sinx^n)/(x^n+sinx^n) for x>0,x!=1,f(1)=0 then

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions

("lim")(n→oo)(a n-(1+n^2)/(1+n))=b , where a is a finite number, then ...
Text Solution
|
Evaluate: ("lim")(xvecoo)x^3{sqrt(x^2+sqrt(1+x^4))-xsqrt(2)}
Text Solution
|
If m , n in N ,("lim")(xvec0)(sinx^n)/((sinx)^m)i s (a) 1, if n=m (b)...
Text Solution
|
For any two complex numbers z1,z2 and any real numbers <math xmlns="ht...
Text Solution
|
lim(n->oo)(-3n+(-1)^n)/(4n-(-1)^n) is equal to a. -3/4 b. 0 if n is...
Text Solution
|
Evaluate : ("lim")(xvecoo)(sqrt(25 x^2-3x)+5x)
Text Solution
|
Given a real-valued function f such that f(x)={(tan^2{x})/((x^2-[x]^2)...
Text Solution
|
Evaluate: lim(x->oo)((x^2+x-1)/(3x^2+2x+4))^((3x^2+x)/(x-2))
Text Solution
|
L=(lim)(x->a)(|2sinx-1|)/(2sinx-1)dotT h e n limit does not exis...
Text Solution
|
If [x] denotes the greatest integer less than or equal to x , then eva...
Text Solution
|
f(x)=("lim")(n->oo)x/(x^(2n)+1)dotT h e n , A. f(1^+)+f(1^(-1))...
Text Solution
|
Evaluate the limit: lim(x->1)((2x-3)(sqrt(x)-1))/(2x^2)
Text Solution
|
("lim")(x->oo)sum(x=1)^(20)cos^(2n)(x-10) is equal to (a) 0 (b) 1 (...
Text Solution
|
lim(x->1) (1+sin((3pix)/(1+x^2)))/(1+cospix) is (a) 0 (b) 1 ...
Text Solution
|
f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim(x->oo)f(x) is equal...
Text Solution
|
("lim")(n vec oo)"{"(n/(n+1))^(alpha)+sin (1/n)]^n(when alpha in Q) i...
Text Solution
|
The value of underset(xto2)lim(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))...
Text Solution
|
If lim(n->oo)(n*3^n)/(n(x-2)^n +n*3^(n+1)-3^n) = 1/3 then the range of...
Text Solution
|
If ("lim")(x->a)[f(x)g(x)] exists, then both ("lim")(x->a)f(x)a n d("l...
Text Solution
|
If f(x)=lim(n->oo)n(x^(1/n)-1),then for x >0,y...
Text Solution
|