Question

I don't know how to solve limits with square roots =_= ..

Answer 1

\[\lim_{x \rightarrow 1} \frac{ x - 1 }{ \sqrt{x} - 1 }\]


like this question maybe :l

Answer 2

multiply denominator and numerator by [sqrt(x) + 1]

Answer 3

ok, here try to rationalize the denominator, u know how ?

Answer 4

no idea >_ <

Answer 5

know the formula (a+b)(a-b) = ?

Answer 6

u mean the conjugate ?

Answer 7

yup, conjugate of \(\sqrt x\)-1 is \(\sqrt x\)+1

Answer 8

oh okie thanks .. i will solve it and i will give my final answer .. and i want to u check it if its right or wrong k ? :]

Answer 9

sure

Answer 10

:] k wait plz

Answer 11

the denominator will be \[(\sqrt{x} - 1)^{2}\]

Answer 12

??

Answer 13

nopes

Answer 14

=.= what then ?

Answer 15

+

Answer 16

u multiplied with \(\sqrt x\)+1 , right ?
so what is
( \(\sqrt x\)-1)( \(\sqrt x\)+1) = ?
use \((a+b)(a-b) = a^2-b^2\)

Answer 17

for the denominator it will be \[(\sqrt{x}- 1)^{2}\] =_= .. and i know it

Answer 18

how can u be so sure ?

Answer 19

cuz i just solved it >_ > not the whole question .. a half of it

Answer 20

\((\sqrt x-1)(\sqrt x-1)=(\sqrt x-1)^2 \\ \huge (\sqrt x-1)(\sqrt x+1)=((\sqrt x)^2-1^2)=?\)

Answer 21

the final answer is 2 .. am i right ?

Answer 22

yes that what i just did (=_=)

Answer 23

yes, final answer = 2 is correct!

Answer 24

:]

Answer 25

^_^ thanks for the HelP :3

Answer 26

welcome ^_^

Answer 27

X3

But what if i got another question >_ > .. will u help mE :l

Answer 28

you think, i'll help u ?

Answer 29

cuz i got another question -..-' omg .. im sorry i feel like im using ur brain <_<'

Answer 30

yeah Cuz ur SmaRt X]

Answer 31

whats the question ?

Answer 32

Compute \[f ^{(45)} (x) for f(x)= e ^{2x} \] ?

Answer 33

just a sec

Answer 34

okie .. i think i got the idea but im not sure about it

Answer 35

naahh . its wrong .. I don't know how to solve these kind of questions [￣Д￣]

Answer 36

could you find f(1)(x) ?

Answer 37

its 7.389

Answer 38

?

Answer 39

how could u get a number ?

Answer 40

i was asking to differentiate f(x) once

Answer 41

i used the calculator >_ > .. from where u got F(1) ?

Answer 42

to get \(f^{(1)}(x)\)

Answer 43

-..- omg i feel dump

Answer 44

\(f^{1}(x)= d/dx (e^{2x})=?\)

Answer 45

how to do that =o= ?

Answer 46

ohh okie wait

Answer 47

its 2 \[f \prime (x) = 2 e ^{2x}\]

Answer 48

right ?

Answer 49

yes.
now what is f''(x) ?

Answer 50

i don't know >_ >

Answer 51

differentiate f'(x) once

Answer 52

this is HARD >_<

Answer 53

O_O

Answer 54

\(f''(x)=d/dx (f'(x))= d/dx(2e^{2x})=2d/dx(e^{2x}=??)\)

Answer 55

\[4e ^{2x}\] ?

Answer 56

yes. thats corrrect!

Answer 57

4 = 2^2 , right ?

Answer 58

8D ohh im Smart :B

Answer 59

yes X3

Answer 60

then .. F"'(x) ? till 45 times O_0 ?

Answer 61

so, \(f^{(1)}(x)= 2^1e^{2x} \\f^{(2)}(x)= 2^2e^{2x} \)
did u see the pattern ?

Answer 62

BtW i didn't go to School today XD cuz i didn't finish my homework :B

Answer 63

_this HW - >_ > '

Answer 64

every time it gets to the power 2 .. yes

Answer 65

right!
\(f^{n}(x)= 2^ne^{2x}\)
now just put n=45

Answer 66

i think \[2^{n} \] won't be correct

Answer 67

why?

Answer 68

-..- okie in wrong forget it

Answer 69

so what u get when u put n= 45 in that ?

Answer 70

\[3.52 \times 10^{13} e ^{2x} ?\]

Answer 71

i think u should keep it as 2^45 only.....or even this is correct.....

Answer 72

=.= im not so sure about this one .. i should as my teacher about it

Answer 73

ok.

Answer 74

:} but thanks anyway X3 .. u're the best in this website really .. u are helping cuz u care about us XD thaaaaaaaaaaaanx X3

Answer 75

welcome ^_^

Answer 76

i gtg now X] .. break time :] See u :P

Answer 77

cya , bye :)

Answer 78

close this question, if you are done with it.....

Answer 79

oh oKie >0< .. btw .. i came back ang i bought an ice-cream :P

Answer 80

- question closed - （　＾＾）人（＾＾　） << thats me and u :P

Answer 81

I ALSO WANT AN ICECREAM !

Answer 82

-..- Sowwie .. (º_º) i wish i can give up oNe :l

Answer 83

i will buy and eat it here....

Answer 84

if i don't get , i'll eat u

Answer 85

(✖╭╮✖')

Answer 86

enjoy ur ice-cream (⌒∇⌒。)
and Don't eat me -_-

Answer 87

lol! i was jk, how would i eat you over internet ? :P

Answer 88

(;¬_¬)