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radarik
@radarik
October 2021
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решить предел:
lim ( 1/(x-1) + 1/(x^2-3x+2) )
x->1
ответ -1, нужно подробное решение
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IrkaShevko
Verified answer
X^2-3x+2 = (x-1)(x-2)
преведем к общему знаменателю:
lim [x->1] ((x-2+1)/((x-1)(x-2)) = lim [x->1] ((x-1)/((x-1)(x-2)) = lim [x->1] (1/(x-2)) = 1/(-1) = -1
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Answers & Comments
Verified answer
X^2-3x+2 = (x-1)(x-2)преведем к общему знаменателю:
lim [x->1] ((x-2+1)/((x-1)(x-2)) = lim [x->1] ((x-1)/((x-1)(x-2)) = lim [x->1] (1/(x-2)) = 1/(-1) = -1