66 Replies
@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.phele continuity check krlo na
vo to chalo theek ha
fir
iski limit khatarnak ni ayegi thodi
um ho to jayega solve
Tumne kya try kia
expansion hi aya tha paper mei to dimag mein
kuch ho nahi paya usse
i see
Ruko me ek br try krta hu fir batata
alright
iss type ke 3 saval aagye paper mein isbarðŸ˜
See it is continuous at x=1
nikal gaya
?
ha
2min wait krna please
Ok
haan ab aajao
$e^{arctan(x-1)} + (x-1)^{2017} sin^{2}\frac{1}{x-1}$
Real potato
Isme x=1 put kroge jab
To e wla term 1 aayega
yes
x-1 wle me zero ayega
sin^2 ka value [0,1] ke beech hota hai
So sin^2 infinity ka value kuch to ayega
Not defined ni hoga
And usko zero se multiply krege to zero ayega
So overall 1+0=1
multi correct?
acha finite ayegi bas
A hai kya ans mein??
yeah multi
Ha so continious to hogya 1 par
Derivable check krna hai ab
..?
BCD
Nope
non derivable hai
han mera bhi whi aya but apparently not in the ans
non derivable kese nikala
Expansion laga k ajyega
binomial x-1 vali mein
Oh my bad
Derivable hai
?
expansion se hi nikala ha na?
Ha 2 terms tk expansion likh k ho jayega
e^x ka expansion lelo
aur?
sin ka?
acha 2 terms tk
sorry
tan^1(x) ko x le lena
uske expansion ka first term x hota hai
lhd=rhd = 0 toh nahi aa rha
Ayega
kuch mistake kia hoga
Zero?
tan^-1 x kaha aaraha ha?
1 ara h
f'(1)=0 right??
are e ki power me jo tan^-1 hai wo warna e^tan^-1x ka expansion kroge complicate ho jayega
im getting one
acha
usko x krlein hain?
hn
ye to nai cheez ha
basically uska expansion bhi likh dia hai
Uska first term x hota hai
aur baaki ka?
-x^3/3! Ig aisa kuch hota hai
not factorial my bad
Just 3
fir alternate plus minus age ka
vo to tan ki nahi hoti?
ruko check krlu
:uhh:
tan me sab jagh plus ata hai
Yaha alternate
acha usme to plus aata
haan sorry
or tan ke mai or bhi coefficient ate hai like 2,5 etc
ek br ap try krlo diffrentiaity ka @Prasan wrna fir me bata ta hu rn i gtg
alright
l aaye toh ping me
limit is 55?
@Prasan
@hardcoreisdead
acc to options yes
howd u get it tho
$n\Sigma{k=1}^{10}f(1+\frac{k}{n})-10n= \newline n\Sigma{k=1}^{10}(f(1+\frac{k}{n})-1))$
Real potato
First principal dikh gaya?
@hardcoreisdead
f(1+k/n)-1
f(1) dia hai
Ig smjh gye hoge
k/n ban jayega n bahar wale n se cut jayega
then all that’s left is $\Sigma_{k=1}^{10} k=55$
Real potato
ek aur tareeka aya tha iska dimaag mein
will tell ekbaar usse final answer nikal lun
oky
mujhe to phela yehi click kia cause f'(1) de rkha tha
+solved @Real potato
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