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dina0878
@dina0878
July 2022
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исследуйте функцию на четность:
f(x)=sinx/x^3
f(x)=x^2-1/sin^2 x
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Answers & Comments
uekmyfhfp
1) f(x)=sinx / x^3;
f(-x)= sin(-x) / (-x)^3= - sin x / - x^3 = sinx / x^3;
f(x)= f(-x); ⇒; четная
2) f(x)=(x^2 - 1)/ sin^2 x ;
f( -x) = ((-x)^2 - 1) / sin^2(- x)=(x^2 -1) / sin^2 x;
f(x)= f(-x) ; ⇒ четная
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Answers & Comments
f(-x)= sin(-x) / (-x)^3= - sin x / - x^3 = sinx / x^3;
f(x)= f(-x); ⇒; четная
2) f(x)=(x^2 - 1)/ sin^2 x ;
f( -x) = ((-x)^2 - 1) / sin^2(- x)=(x^2 -1) / sin^2 x;
f(x)= f(-x) ; ⇒ четная