isi maths

[ritu]

1.the fuctn max(1,x,x square),x is any real no has discontinuity at
a.one point only
b.two points only
c.3 points only
d.no point of discontinuity

2.let the fuctn f:R++ to R++ be such that f(1)=3 and f '(1)=9,R++ is positive part of real line.then,LT x tends to '0': {f(1+x)/f(1)} raised to power 1/x =
a.3
b.e square
c.2
d.e cube

3.let f,g :[0,infinity) to [0,infinity) be decreasing and increasing respectively.define h(x)=f(g(x)).if h(o)=0,then h(x)-h(1) is
a.nonpositve for x>or = to 1.positive otherwise
b.always negative
c.always positive
d.positive for x >or = 1,nonpositive otherwise.


friends not only assist with solutions but also tell how to approach such theoretical and conceptual questions....this is not normal numerical type questns......but based on grasp of theory...so suggest some source from where i can build upon such type of concepts....coz dse and isi are focusd on such questions only..
thanx a lot....EAGERLY WAITING FOR A REPLY....

[Amit Goyal]

You can easily do the first problem by plotting.
For the second one, refer Notes
(page 6)
For the third one all you need to find is whether h is increasing or decreasing and the result will follow.

If you have trouble solving these problems, you need to do your high school Maths again.

Additional reference: Elementary Analysis: The Theory of Calculus by Ross

[Bellatrix]

Actually Ritu, it would not hurt if you do pick up your RD again. What happens is that we have done such questions before, but have forgotten how we went about them. Sometimes even simple definations we don't remember. Do selective topics such as functions, sequences and series, combinotorics. If nothing else, it will give you the confidence to face isi (or dse) questions :)

[ritu]

thank u soooo much bellatrix....that is wot i have started...........i m doing rd 11th and 12th....nd then i "ll back it up with chiang....it is sufficient from ur viepoint??????