The value of f(0) for which the function...

The value of f(0) for which the function : `(log_(e) (1-ax) - log_(3) (1-bx))/(x)` is continuous at x = 0 is :

b - a

a + b

`-(a + b)`

a - b

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

LIMIT AND CONTINUITY
MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|11 Videos
LIMIT AND CONTINUITY
MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos
LIMIT AND CONTINUITY
MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos
MATHEMATICAL REASONING
MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|9 Videos

Similar Questions

Explore conceptually related problems

The value of f(0) so that the function : f(x) = (sqrt(1 + x) - (1+x)^(1//3))/(x) becomes continuous, is equal to :

The value of f(x) at x = 0, so that the function f(x) = (2^(x)-2^(-x))/x, x ne 0 is continuous at x = 0

The value of b for which the equation 2 log_(1//25)(bx+28)=- log_(5) (12-4x-x^(2)) has coincident roots is

The domain of the function : f(x)=log_(10)log_(10)(1+x^2) is :

The value of f(0) so that the function f(x) = ((27-2x)^(1/3)-3)/(9-3(243+5x)^(1/5)), x ne 0 is continuous, is given by

If the function f(x) = [((cos x)^(1//x),x ne 0),(k,x = 0):} is continuous at x = 0, value of k is :

The domain of the function : y=f(x)=(1)/(log_(10)(1-x))+sqrt(x+2) is :

Plot the following functions. y=(log_(e)x)-1

the value of alpha (ne 0) for which the function f(x ) = 1+ ax is the inverse of itself is :

The function f(x) = ([log (1 + ax) - log (1-bx)])/(x) is not defined at x = 0. The value, which should be assrgned to f at x = 0. The value, which should be assrgned to f at x = 0 so that it is continuous at x = 0 is :

MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )

Let f(x) = (tan ((pi)/(4) - x))/(cot 2 x), x ne pi//4, the value which...
Text Solution
|
Let f(x) = x + 2, where x le 1 and f(x) = 4x - 1, when x gt 1, then :
Text Solution
|
Let the function f be defined by f(x) = "x sin" (1)/(x), when x ne 0 =...
Text Solution
|
f(x) = (|x-a|)/(x-a), when x ne a, = 1, when x = a, then :
Text Solution
|
The value of f(0) for which the function : (log(e) (1-ax) - log(3) (1-...
Text Solution
|
If f(x) = ((e^(x)-1)^(4))/(sin((x^(2))/(lambda^(2)))log(1+(x^(2))/(2))...
Text Solution
|
If f(x) = [x] + [-x], x ne 2 = lambda, x = 2, then f is continuous at ...
Text Solution
|
Let f(x) be defined by f(x) = {{:((|x^(2) - x|)/(x^(2) - x),x ne 0"," ...
Text Solution
|
lim(x rarr oo) ((x^(2) + 5x + 3)/(x^(2) + x + 2))^(x) is :
Text Solution
|
lim(x rarr 0) (log (3 + x) - log(3 - x))/(x) = k, the value of k is :
Text Solution
|
lim(x rarr (pi)/(2)) ((1 - tan x//2)(1-sin x))/((1+tan x//2) (pi - 2x)...
Text Solution
|
The value of lim(x rarr 0) (int(0)^(x^(2))sec^(2)t dt)/(x sin x) is :
Text Solution
|
The value of lim(n rarr oo) (1 + 2^(4) + 3^(4) +…...+n^(4))/(n^(5)) - ...
Text Solution
|
lim(x rarr 0) (sin nx[(a-n)nx - tan x])/(x^(2)) = 0, where n is non-ze...
Text Solution
|
If lim(h rarr 0) (1 + (a)/(x) + (b)/(x^(2)))^(2x) = e^(2), then the va...
Text Solution
|
Let f(x) = (1-tanx)/(4x-pi),x ne (pi)/(4), x in [0, (pi)/(2)], if f(x)...
Text Solution
|
Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0, then ...
Text Solution
|
lim(x rarr (pi)/(4)) (int(2)^(sec^(2)x) f(t) dt)/(x^(2) - (pi^(2))/(16...
Text Solution
|
For x gt 0, lim(x rarr 0) ((sin x)^(1//x) + ((1)/(x))^(sin x)) is :
Text Solution
|
The function f : R//{0} rarr R given by : f(x) = (1)/(x) - (2)/(e^(2...
Text Solution
|