limits doubt

[worthy rose]

I tried using the identity(?)
Limit x->0 (e^x-1/x) = 0 and I got:
lim... (e^{x}-1/{x}^2) - {x}/{x}^2
lim... 1/{x} - 1/{x} = 0
But the answer shouldve been e-2
Could someone explain where I went wrong

[worthy rose]

my logic was since x->I-, {x}->0 so I could use the identity

[echo rapids]

denominator is not 0

its 1

so its not a limiting case

[worthy rose]

I dont see it, fractional part of an integer is 0 so as x approaches integer, {x} approaches 0

[echo rapids]

but see its I approaching from left wards

sooo {1.99999999} will be 0.9999

which is basically 1

[echo rapids]

its black book right?

[worthy rose]

Ye

[worthy rose]

Ohhh yeah

[echo rapids]

answer is does not exist right?

[worthy rose]

Its b in the book

Thanks man

[echo rapids]

huh

oh its asking value

i thought its asking about limiting case

u indian?

[worthy rose]

Yea

[echo rapids]

oh same

[worthy rose]

Nice youre writing jee too?