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i is the square root of $-1$, so it doesn't really make sense to take a limit as it varies. If you instead do either

lim(x/(x+1),x=infinity)

or

var('i')  # make "i" a variable
lim(i/(i+1),i=infinity)

then you'll get the answer you expect.

i is predefined in Sage to be the square root of $-1$, so it doesn't really make sense to take a limit as it varies. If you instead do either

lim(x/(x+1),x=infinity)

or

var('i')  # make "i" a variable
lim(i/(i+1),i=infinity)

then you'll get the answer you expect.