Limits

VITEEE 2015 Forum › Calculus questions › Limits

Lt { e^x+(2e)^x+(3e)^x+...+(ne)^x}^n/x
xâ†’0--------------------------------------
{n}^n/x
a) n!

b) n!eⁿ

c)n+log_en!

d)eⁿ

#Mathematics #Calculus

UP 0 DOWN 0 0 27
Post on FacebookPost anonymously?

27 Answers

1

Akand ·2009-02-23 04:04:51

manipal made a mistake in d first step........and his 'a' is n...

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-02-23 07:21:18

@manipal.. that message was for tapan!

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-02-23 07:21:04

k taking e^x common out ........we get
eⁿ{(1^x+2^x+...)/n}^n/x
by takin 1^âˆž wala formula
eⁿe^{{(1^x+2^x+...)/n-1}n/x}
eⁿe^logn! (check out mainpals method)
eⁿn!

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-02-23 07:16:08

shud i type my solution again?????? im hundred percent sure i hav got d rite answer........k w8 ill type again even if it takes forever ....(hehe just kiddin)

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Mani Pal Singh ·2009-02-23 07:03:15

then i didn't understood ur 24 post

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-02-23 07:02:00

@manipal bhai mai question pe shaq nahi kar raha!! (I am not doubtin gthe quesiton!)

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

tapanmast Vora ·2009-02-23 06:45:09

OHHH!!!!
hmmmmm.......... yeah!!!

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Mani Pal Singh ·2009-02-23 06:44:56

kya aap ques pe shak kar rahe hain
i think ques is correct

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-02-23 06:40:58

there is a mstake in taking x->0-

that is when you are taking the sum as 1+1+1+...

there is a x in the denominator!

and difference fo 2 terms that tend to infinity is not zero!

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Mani Pal Singh ·2009-02-23 06:35:05

sir i used a^x-1/x = logx
haaan i made a mistake
but the concept is perfect !!!!!!!!!!

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

tapanmast Vora ·2009-02-23 06:25:36

jus a min....
i'll upload ma total workin

**deleted after getting reviewed..... LOL

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-02-23 06:24:43

I did not understand your log ..

how did u take it

where did the summation go!?

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

tapanmast Vora ·2009-02-23 06:21:05

sir, did u get my mist???

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

tapanmast Vora ·2009-02-23 05:23:05

sum1 pl. help abhirup n myself decipher wer we hav gone wrong [2]

or does the question hav multiple ans [11] LOL [4]

UP 0 DOWN 0
Post on FacebookPost anonymously?

13

Ð”Ð²Ò¥Ñ—ÑuÏ now in medical c ·2009-02-23 03:37:02

eⁿ...[7]

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-02-23 04:02:51

man typing is confusing.........ill tell d method.........i did exactly wat manipal did .......by removing his small mistakes.......

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-02-23 04:02:03

eⁿ((1^x+2^x....)/n)^n/x
eⁿe^{(((1^x+2^x...)/n)-1)n/x
eⁿe^logn! ........(using manipals method)}

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

sriraghav ·2009-02-23 03:59:51

ya... how a came in??

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-02-23 03:58:43

yup i got n!eⁿ.......... ill type d solution.....

UP 0 DOWN 0
Post on FacebookPost anonymously?

13

Ð”Ð²Ò¥Ñ—ÑuÏ now in medical c ·2009-02-23 03:56:23

tapan.....i did the same .......getting ...eⁿ...[2]

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-02-23 03:55:21

wat is a in tht???? i think it is n ........so ans is n!

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

tapanmast Vora ·2009-02-23 03:55:03

me too gettin e^n

take log on both sides...
apply limits :

logy = n/x(loge^x) + n/x(logn)-n/x(logn)

logy = n;

y = e^n

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

sriraghav ·2009-02-23 03:54:19

ANS IS B...

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

sriraghav ·2009-02-23 03:52:47

NO !! HERE NO FRACTIONAL PART...

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-02-23 03:51:40

are those d fractional part of x???

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Mani Pal Singh ·2009-02-23 03:51:00

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

sriraghav ·2009-02-23 03:37:47

no

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω