If ("lim")(x->a)[f(x)+g(x)]=2a n d ("li...

If `("lim")_(x->a)[f(x)+g(x)]=2a n d` `("lim")_(x->a)[f(x)-g(x)]=1,` then find the value of `("lim")_(x->a)f(x)g(x)dot`

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 lim_(xtoa)[f(x)+g(x)]=2 and lim_(xtoa) [f(x)-g(x)]=1, then find the value of lim_(xtoa) f(x)g(x).

If (x^2+x−2)/(x+3) -1) f(x) then find the value of lim_(x->-1) f(x)

If lim_(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim_(x->0)[1+(f(x))/x]^(1/x))i s____

If (lim)_(x->c)(f(x)-f(c))/(x-c) exists finitely, write the value of (lim)_(x->c)f(x) .

If ("lim")_(x->a)[f(x)g(x)] exists, then both ("lim")_(x->a)f(x)a n d("lim")_(x->a)g(x) exist.

If lim_(x->a)(f(x)/(g(x))) exists, then

If the function f(x) satisfies (lim)_(x->1)(f(x)-2)/(x^2-1)=pi, evaluate (lim)_(x->1)f(x)

If y=f(x^3),z=g(x^5),f^(prime)(x)=tanx ,a n dg^(prime)(x)=secx , then find the value of (lim)_(xvec0)(((dy)/(dz)))/x

If f(x)=lim_(nrarroo) (cos(x)/(sqrtn))^(n) , then the value of lim_(xrarr0) (f(x)-1)/(x) is

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions

Consider the following graph of the function y=f(x)dot Which of the fo...
Text Solution
|
If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...
Text Solution
|
If ("lim")(x->a)[f(x)+g(x)]=2a n d ("lim")(x->a)[f(x)-g(x)]=1, then f...
Text Solution
|
Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...
Text Solution
|
Evaluate "lim"(x->0)(3x+|x|)/(7x-5|x|)
Text Solution
|
The value of lim(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is 1/2 (b) -...
Text Solution
|
lim(xvecoo)(e^(1/x^2)-1)/(2tan^-1(x^2)-pi) is equal to (a) 1 (b) -...
Text Solution
|
Evaluate: lim(x->oo) (1+1/(a+bx))^(c+dx) , where a,b,c and dare positi...
Text Solution
|
If x1=3 and x(n+1)=sqrt(2+xn),ngeq1,t h e n""("lim")(xrarroo)xn is (...
Text Solution
|
Evaluate: ("lim")(xrarroo)(1+1/x)^x
Text Solution
|
("lim")(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (...
Text Solution
|
Evaluate: ("lim")(xrarr0)((a^x+b^x+c^x)/3)^(2/x);(a , b , c >0)
Text Solution
|
("lim")(xvecoo)"{"x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to ...
Text Solution
|
If f(n)=underset(xto0)lim{(1+"sin"(x)/(2))(1+"sin"(x)/(2^(2)))...(1+"s...
Text Solution
|
If lim(x->2^-) (ae^(1/|x+2|)-1)/(2-e^(1/(|x+2|)))= lim(x->2^+)sin ((x^...
Text Solution
|
The population of a country increases by 2% every year. If it increase...
Text Solution
|
lim(x->o)[(x^4sin(1/x)+x^2)/(1+|x|^3)]=
Text Solution
|
Evaluate the limit: ("lim")(xvecoo)((x+2)/(x+1))^(x+3)
Text Solution
|
ABC is an isosceles triangle inscribed in a circle of radius rdot If A...
Text Solution
|
Evaluate: ("lim")(x->pi/2)(cosx)^(cosx)
Text Solution
|