Let f be differentiable in the interval (0,∞) such that f(1)=1 and l – InterviewSolution

1.	Let f be differentiable in the interval (0,∞) such that f(1)=1 and limt→xt3f(x)−x3f(t)t−x=1, for each x>0. Then f(2) is equal to AB, where A,B are in the lowest form. The value of A+B is
Answer» Let $f$ be differentiable in the interval $(0, \infty)$ such that $f (1) = 1$ and $lim t \to x \frac{t^{3} f (x) - x^{3} f (t)}{t - x} = 1,$ for each $x > 0.$ Then $f (2)$ is equal to $\frac{A}{B},$ where $A, B$ are in the lowest form. The value of $A + B$ is

Discussion

No Comment Found

Related InterviewSolutions

The number of ways of choosing 2 cards from a pack of 52 where atleast one face card is choosen
Let P(3,3) be a point on the hyperbola, x2a2−y2b2=1. If the normal to it at P intersects the x−axis at (9,0) and e is its eccentricity, then the ordered pair (a2,e2) is equal to
P speaks truth in 75% cases while Q in 90%.in what % r they likely to contradict each other in stating the same fact .? Do u think B is true Do
If f(x) has the second order derivative at x = c such that f '(c) = 0 and f ''(c) > 0, then c is a point of _______________.
An A.P. consists of 43 terms, if the sum of five middle-most terms is 195, then the sum of the A.P. is
Find the angle between two vectors a and b with magnitudes √3 and 2 respectively, having a.b=√6
If y={x}[x], then 3∫0y dx is equal to,where {.} and [.] are fractional part function and greatest integer function respectively.
The graph of f(x)=−|log(x−3)|+3 will be
1∫0ex⋅x(1+x)2dx is equal to
What is a set and list all formulas of set.