limit

find the limit of (e^{x}-{x}-1)/{x}^2 when xâ†’[a] where {.} denotes fractional part and [.] denotes integral part

2 Answers

as we approach the integer frm lh side ... we get .. {x} --> 1

else it tendz to zero ...

so lhl we get as e-1-1/2 ...... rhl as 1/2 ...... lt dosnt exist ....:((

(e^{x}-{x}-1){x}^2

Use expansion...

{x}->1 when we take x->[a] from the LHS

so the expression's LHL will be e-2

RHL will be found by LH rule... and will be 1/2

So the limit does not exist..

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