24no one trying???????
if 3 continuous and differentiable functions a(x),b(x),c(x) are inserted b/w ex and f(x) , then sequence becomes a GP.If g(x),k(x),l(x) are 3 continuous and differentiable function inserted b/w them ,then sequence is AP.It is given that f(x) intersects curve y=(x+5)/(x2+1) at x=xo where xo is smallest integral value of x which belongs to solution set
satisfying mod(x)≤ [x] where [.] denotes GINT.
Q1 Identify type of mapping of f(x)
Q2 If r is common ratio fo GP and d is common diff of AP,then soln set of inequality r>d is????
Q3 the value of lim (a4(x) -5 )/x
x---> 0
Q4For what value of x the common diff of GP is less than e-x/2
-
UP 0 DOWN 0 1 16
16 Answers
24mere se bhi nahin nikla hai bhai log...............plzzzzzz help karro.....[2][2][2]...[17][17]
1Too much of analysation
presently found that f(x)≥0
f(0)=0
f'(0)=0
b(x)≥0
b(0)=0
b'(0)=0
and either one of a(0) or c(0)=0
Still Analysing................
1@Subash
S'rry dude that was 1 mistake I did and spoiled the whole thing
But f(x)≥0
and b(x)≥0 are still satisfied
11im not getting anything except #5
bhaiyyas and sirs, can you please provide solution for this?
24ya subash is rite................
i posted the question becoz it would cover whole diff calculus and help everyone....
plzzzzzzz nishant sir help me..........
9x0 = 0
so f(0) = 5
also f(x) =exr4 so f : (-∞,∞)→ (0,∞)
take f(x) = 5ex (ill tell u why in another post )
then a(x) = 51/4 ex
so the value of lim (a4(x) -5 )/x = 5(e4x -1)/x =20
x---> 0
r=51/4 and d=ex now r>d → x<(ln5)/4
for part4 of ur Q i dont know if GPs have common diff anyway frm abv its easy to find common ratio or common diff of AP and compare
9I took f(x) = 5ex trivially
infact f(x) has infinite solutions with f(0)=5
so in a sense the Q is WRONG
u need to provide xtra info Eureka !!!!!
( not gud enuf for a QOD [17] )
24ok i will try to search that question........after JEE all my study material is in a mess...[3][3]
but my instinct says that question is rite..[7][7]
9how can Q be rite ????
assume an arbitary f(x)
and u can define a b,c,g,k,l in terms of f and ex itself !!!!
we certainly need xtra info