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Van9
@Van9
October 2021
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решите 4 предела с подробным решениям
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hlopushinairina
Lim(x⇒3) (4x+2)/(5x-1)=(4·3+2)/(5·3-1)=14/14=1;
lim(x⇒₀₀) (1-8x)/(4x+5)=lim(x⇒₀₀)(x(1/x-8))/(x(4+5/x)=-8/4=-2
lim(x⇒3) (x²-9)/(x-3)=lim(x⇒3) (x-3)·(x+3)/(x-3)=lim(x⇒3) (x+3)=3+3=6
lim(x⇒0) x/sin5x=lim(x⇒0) 5x/5sin5x=1/5
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Answers & Comments
lim(x⇒₀₀) (1-8x)/(4x+5)=lim(x⇒₀₀)(x(1/x-8))/(x(4+5/x)=-8/4=-2
lim(x⇒3) (x²-9)/(x-3)=lim(x⇒3) (x-3)·(x+3)/(x-3)=lim(x⇒3) (x+3)=3+3=6
lim(x⇒0) x/sin5x=lim(x⇒0) 5x/5sin5x=1/5