Consider the following graph of the func...

Consider the following graph of the function `y=f(x)dot` Which of the following is/are correct? fig. 1. `("lim")_(xvec1)f(x)` does not exist. 2.`("lim")_(xvec2)f(x)` does not exist. 3. `("lim")_(xvec3)f(x)=3`. 4. `("lim")_(xvec1.99)f(x)`= exists

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

Consider the following graph of the function y=f(x). Which of the following is//are correct? (a) lim_(xto1) f(x) does not exist. (b) lim_(xto2)f(x) does not exist. (c) lim_(xto3) f(x)=3. (d)lim_(xto1.99) f(x) exists.

If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be correct ("lim")_(xvec1)f(x)e xi s t s a=-2 ("lim")_(xvec-2)f(x)e xi s t s a=13 ("lim")_(xvec1)f(x)=4/3 ("lim")_(xvec-2)f(x)=-1/3

If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be correct (a) ("lim")_(xvec 1)f(x) for a=-2 (b) ("lim")_(xvec-2)f(x) for a=13 (c) ("lim")_(xvec 1)f(x)=4/3 (d) ("lim")_(xvec-2)f(x)=-1/3

Which of the following limits tends to unity? (a) ("lim")_(xvec0)sin(tanx)/(sinx) (b) ("lim")_(xvecpi/2)sin(cosx)/(cosx) (c) ("lim")_(xvec0)"sin"(e^x-1)/x (d) ("lim")_(xvec0)(sqrt(1+x)-sqrt(1-x))/x

("lim")_(xvec1)(1-x)tan(pix)/2=_____

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.

Which of the following is and determinate form (lim)_(xvec1)(x^3-1)/(x-1) b. (lim)_(xvec0)(1+x)^(1//x) c. (lim)_(xvec1)(1/(x^2-1)-1/(x-1)) d. (lim)_(xvec0)(|x|)^(s in R)

If f(x)=(|x|)/(x) , then show that lim_(xrarr0) f(x) does not exist.

If f(x)=(|x-a|)/(x-a) , then show that lim_(xrarra) f(x) does not exist.

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions

Evaluate: ("lim")(xrarr0) (sin[cosx])/(1+[cosx])([dot] denotes the g...
Text Solution
|
lim(x->0)((1^x+2^x+...........+n^x)/n)^(1/x) is equal to
Text Solution
|
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
|