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what will happen if you kept multiplying \\(1+1/2) \\(1+1/2)(1+1/4) \\(1+1/2)(1+1/4)(1+1/16) \\(1+1/2)(1+1/4)(1+1/16)(1+1/256) \\(1+1/2)(1+1/4)(1+1/16)(1+1/256)...... and so on? would you get a finite number or an infinite on ...

Here goes my first question in TargetIIT :):):):):):) Find the following limits - 1 > lim [ ( n ) !/n n ] 2 > lim [ ( n - 1 ) !/n n - 1.5 ] e n In both cases n tends to infinity . ...

A:B/w SiCl4 and CCl4 ,only SiCl4 reacts with water. R:SiCl4 is ionic and CCl4 is covalent ...

1. \int \frac{x^2}{\sqrt{1- x^2}} 2. \int \frac{x^3}{\sqrt{1- x^2}} 3 . \int \frac{dx}{( x^2 + 1 ) ^2 } = \frac{A}{148}\tan^{-1} x +\frac{x}{2(x^2 + 1)} find value of A 4 . \int \frac{(1+ logx )dx}{\sqrt{x^{2x}-1}} for practi ...

A V shaped tray is inclined at 37° is having coeff of friction with block (m=5kg) on its faces as 0.2 and 0.3.Find acc of block ...

Ammonia on reaction with hypochlorite forms a)NO b)NH4Cl c)N2H4 d)HNO2 concept also plzzz ...

Q1 When alpha particles are sent through thin metal foil,most f them go straight through becoz a)alpha particles are heavier than electrons b)alpha particles are positively charged c)most space of atom is empty d)alpha partic ...

f(x)=sin x + x ; find ∫0pi f-1(x) dx. ...

1)excess KCN is added to cupric salt and H2S is passed through the solution. no black CuS is precipitated because Cu is present in the solution as a)[Cu(CN)6]4- B)[Cu(CN)4]3- C)[Cu(CN)4]2- D)NONE. 2)Co3+ forms a complex with ...

i had found this quest very interesting....had posted it in http://www.targetiit.com/iit-jee-forum/posts/rotation-instantaneous-centre-of-rotation-12434.html . but the posts there were so conjusted that noone cared to solve s ...

If w1 w2 w3 r the works done in isothermal , adiabatic , & isobaric processes , the correct order will be , if ΔV is same for all the processes (A) w1 > w2 > w3 (B) w3 > w2 > w1 (C) w3 > w2 > w1 (D) w3 > ...

When a solution containing non volatile solute freezes , which equillibrium wud exist ?? (A) Solid - solvent <-----> Liquid Solvent (B) Solid solute <----->Liquid solution (C) Solid solute <----> Liquid solv ...

Can anyone integrate , ln ( u2 - 2 u cos x + 1 ) dx ? Limits are from x = 0 to x = pi . ...

Using Pt electrode (A) Dil solution Hcl (P) O2 evolved at anode (B) dil solution of Nacl (Q) H2 evolved at cathode (R) cl 2 evolved at anode (S) Na deposited at cathode ...

The area bounded by the curves y = sin-1 |sin x| and y = (sin-1 |sin x|)2 , x \epsilon [0 , 2 \pi ] is: a) 1/3 + \pi 2/4 b) 1/6 + \pi 2/8 c) 2/3 + \pi 2/2 d) none of these ----------------------------------------------------- ...

tHE NO OF FORMULA UNITS of Nacl in one unit cell r??? ...

Dunno where i'm doing wrong... \lim_{x\rightarrow \propto } ln\left(x+\frac{1}{x} \right) ?? ...

15 ml of a gaseous hydrocarbon was required for combustion in 357 ml of air ( 21% of O2 by volume ) . If the gaseous products occupied 327 ml (at NTP) what is the formula of the hydrocarbon )... Ans c3h8 ...

x^{2}\left(\int_{0}^{\pi /2}{(2sint+3cost)dt} \right)-x\left(\int_{-3}^{3}{\frac{t^{2}sin2t}{t^{2}+1}}dt \right)-2=0, then x= ...... ans-----> \pm \sqrt{2/5} ...

\int_{0}^{\pi /4}{\left\{2sinxcosx \right\}}d\left(x-\left[x \right] \right) where [x] and{x} r G.I.F and fractional part respectively. ans-----> 1/2 ...

A bag contains 4 white balls and 5 black balls : a second bag contains 3 white and 4 black balls: and a third has 5 white and 4 black balls. A ball is randomly picked from the first bag and put in the second: then another bal ...

The least value of \phi (x) = \int_{x}^{2}{log_{1/3}tdt}for x\epsilon \left(\frac{1}{10},4 \right) is at x = ........ ans--->1 ...

\int_{-\pi /2}^{\pi /2}{\sqrt{cos^{2n-1}x-cos^{2n+1}x}}dx,n\epsilon N- ans------> 4/2n+1 ...

\int \left(\frac{1-\sqrt{x}}{1+\sqrt{x}} \right)^{1/2}\frac{dx}{x} just for practise ans--> -2log\frac{1+\sqrt{1-x}}{\sqrt{x}}-2sin^{-1}\sqrt{x}+c ...

∫log(1+x)/1+x2dx limits r 0 to pi/4 ...

\texttt{The number of natural numbers between 1 to 2000 such that sum of digits of their sqaures is eqaul to 21} ...

P(x,y) is a point which moves in the x-y plane such that 2[y] = 3[x] , where [.] denotes GIF & -2<= x <=5 ; -3 <= y <= 6. The area of the region containing the point P(x,y) is equal to: a)2 b)6 c) 4 d)8 ---------- ...

i have a silly doubt...which can prove very useful too... so the doubt is.. in IITJEE the questions which are labelled multiple correct answer type....do they all surely have more than one answers??? 'ohh k now i feel that th ...

ohh god!! just now i had finished typing a 2000 letter big big doubt when suddenly my lappy shut down!! Oh god i have to type it once again!! a proposal to nishant bhaiya and other admins!! Please can u do something to this f ...

FIND cos(3x) - sin(3x) IF cos(2x) - cosx = sin(4x) - sinx AND tanx is not 1!!! ...