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garah
@garah
August 2022
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Вычислите пределы функции, пожалуйста!
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hlopushinairina
Limx->∞(√(x²+x+1)-√(x²-x)=∞
limx->∞(√x²·(1+1/x+1/x²)-√x²·(1-1/x)=limx->∞(x·√(1+1/x+1/x²)-x·√(1-1/x))=
=∞·1-∞·1=0;
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Answers & Comments
limx->∞(√x²·(1+1/x+1/x²)-√x²·(1-1/x)=limx->∞(x·√(1+1/x+1/x²)-x·√(1-1/x))=
=∞·1-∞·1=0;