Calculus - LIMITS rockz CALCULUS :) prob solve nd explain

1

kamalendu ghosh ·2009-03-15 06:16:37

Q1)multi ply a^n num and denom.....

U get Î±^2n/sinx/ + cos x/(Î±^2n +1)

lim a tends to 1+ and n tends to Infinity means a^2n tends to 1
therefore a={/sinx/+/cosx/}/2

But lim a tends to -1 and n tends to inf. =0

so b=/cosx/

For c use cosÎ¸+cos2Î¸+cos3Î¸..... cosnÎ¸= { sin(nÎ¸/2)/son(Î¸/2)}*cos ((n+1)Î¸/2)

got it folks.....

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1

chemistry organic ·2009-03-15 03:16:00

this was easy question manipal bhai itna darte kyun ho sawalon se...chak de phatte

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1

skygirl ·2009-03-15 03:16:16

arey par agar aur ek option rehta [1/âˆš2 , 1/2] ...

toh kaunsa hota ?

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11

Mani Pal Singh ·2009-03-15 03:17:55

but double limit never came in IIT

yaar main darta nahin hoon
read the bolded statement in #5

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1

vector ·2009-03-15 03:18:27

sky draw the graph of fx range is clearly 1/âˆš2 to 1

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1

vector ·2009-03-15 03:21:39

it was nt very tough aur yeh to nahi likha hai ki dble limit aa nahi sakti may be it start cming frm dis year

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1

chemistry organic ·2009-03-15 03:23:36

do baar limit mat nikalo.....n--->âˆž ko uper likh do...and then rest of limit ko solve kar do..
....do baar lt likh dene se question out of syllabus nahi ho jata.

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1

chemistry organic ·2009-03-15 03:26:51

sorry manipal if got offended but i dont think u will be...:) cheers

and richa post how did u solve for c??(weak in trigo)

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1

playpower94 ·2009-03-15 04:32:29

post detalied steps and solution

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1

vector ·2009-03-15 03:14:38

c=1/âˆš2

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1

vector ·2009-03-16 07:47:25

ma ans is crt bt no pink :(

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62

Lokesh Verma ·2009-03-16 07:49:35

I am getting this

2b= 2a=|sinx|+|cosx|

Can you confirm the answer powerplay

See the problem here is with the way it is written

IF you have two limits both tending together it is different from

one limit tending after another!

there is a difference in

Lim x->a lim y->b f(x,y)

and

lim x->a, y->b f(x,y)

The question here is the first one...

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1

vector ·2009-03-16 07:51:15

bhaiya i ve confirmed it frm him

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33

Abhishek Priyam ·2009-03-16 07:51:31

powerplay!! bahut match dekh rahe hai

he is playpower... :P

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1

playpower94 ·2009-03-16 08:03:49

ans is 17>d 18>c 19>d

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1

playpower94 ·2009-03-16 08:05:12

[15] [14] [13] to priyam [3]

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vector ·2009-03-16 08:20:40

nishant bhaiya no brackets mention so simultaneous limits they will be . i think i ve done a similar sum time before .

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1

? ·2009-03-15 02:59:34

19) [0,1]

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11

Mani Pal Singh ·2009-03-15 01:51:50

bhai
yeh tuune kya kiya?????

SITE KA NAAM HAI

TARGET IIT

IIT mein tere se aise sawal koi nahi poochega
better not waste 10 ( useful 4 JEE)concepts to make 1

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1

playpower94 ·2009-03-15 02:06:38

manipal how knw its not in JEE ?

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11

Mani Pal Singh ·2009-03-15 02:11:31

there r 25 years paper available in the markets
u can get a guess about the type of ques they ask

IN MY WHOLE EXPERIENCE OF 2 YEARS WIHT TEACHERS BOOKS AND PAPERS
I HAD NEVER SEEN SUCH TYPE OF PROBLEM

IF SOMEONE CAN SOLVE I WILL BE THANKFUL

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1

? ·2009-03-15 02:26:51

17) = |cosx|

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vector ·2009-03-15 02:35:45

a=[sinx] b=[cosx]c=1/âˆš2[]=mode

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skygirl ·2009-03-15 02:36:07

17)d , 19)b ???

bada bada tukka hai :P

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vector ·2009-03-15 02:46:32

q 19 me getting d

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vector ·2009-03-15 02:48:33

q18 allR

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1

playpower94 ·2009-03-15 01:42:45

SOMEONE HELP ME OUT

HOW TO PROCEED... THERE ARE 2 LIMITS [5] [2]

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1

chemistry organic ·2009-03-15 03:05:03

richa did u solve for c???...

.....i also got same answers for rest....

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skygirl ·2009-03-15 03:06:21

19. ans is D but not getting...

how u got ... post naa...

well 17th one is d.

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chemistry organic ·2009-03-15 03:06:23

19)surely "d" since it is atlest greater than 1/âˆš2

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LIMITS rockz CALCULUS :) prob solve nd explain

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