A
B
C
D
Text Solution
Verified by Experts
The correct Answer is:
Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
SIA PUBLICATION-LIMITS AND CONTINUITY-Problems
- If : R to R defined by f(x) = {:{ ((1 +3x^(2) - cos2x)/x^(2) , " f...
Text Solution
|
- lim(x to oo) ((x+5)/(x +2 ))^(x +3) equals
Text Solution
|
- If f: R to R is defined by f(x) = {:{((2 sin x - sin 2x)/( 2 x cosx...
Text Solution
|
- lim(x to 0) (1 -e^(x) sin x)/ ( x^(2) + x^(3) ) is equal to
Text Solution
|
- If f : R to R is defined by f (x) f(x) = [ x -3] + | x -4| for ...
Text Solution
|
- If f : R to R is defined by f(x) = {:{ ((cos 3x - cos x)/(x^(2) ),...
Text Solution
|
- If f (2) =4 and f (2) =1 , " then " lim(x to 2) (x f(2) - 2f(x))/(...
Text Solution
|
- lim(x to 0) (e^(x) - e^(sin x)/ ((x - sin x)) is equal to
Text Solution
|
- if f(x) = {: (x-5, " for " x le 1), ( 4x^(2) -9 , " for " 1 lt x lt ...
Text Solution
|
- If f(x) = {:{ (( sin (1 + [x]))/[x], " for " [x] ne 0), (0 , " for ...
Text Solution
|
- If 0 < p <q then lim( n to oo) ( q^(n) + p^(n))^(1//n) is equal to
Text Solution
|
- lim(x to oo) [ sqrt(x^(2) + 2x -1) -x] is equal to
Text Solution
|
- If lim(xto 0) ( (cos 4x + acos 2x + b)/(x^(4) ) is finite , then th...
Text Solution
|
- If l(1) = lim(x to 2^(+)) (x + [x]) , l(2) = lim(x to 2^(-)) (2x - [x...
Text Solution
|
- If f(x) = {:{ ( (1- sqrt2e sinx)/(pi-4x) , if x ne pi/4), ( a , if x ...
Text Solution
|
- lim( x to 0) x^(2) sin ( pi/x) is equal to
Text Solution
|
- If f : R to R is defind by f(X) = {:{((x-2)/(x^(2) -3x +2 ) , " ...
Text Solution
|
- If f : R to R is defined by f (x) = {:{((x+2)/(x^(2)+3x+2), if x...
Text Solution
|
- The value of lim(n to oo ) 1/n^(3) sum(k =1)^(n) ( k^(2) x ) is
Text Solution
|
- If f(x) = {:{((sqrt(1+ + kx ) - sqrt(1-kx))/x , " for" -1 le x lt 0)...
Text Solution
|