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(Solved): Practice trig w limits 1. \lim_(x->0)(sin(x^(2)-2x))/(x^(2)+3x) so use (sin(x^(2)-2x))/(x^(2)-2x) ...
Practice trig w limits 1.
\lim_(x->0)(sin(x^(2)-2x))/(x^(2)+3x) so use (sin(x^(2)-2x))/(x^(2)-2x)=(sin(x^(2)-2x))/(x^(2)+3x)\times (x^(2)-2x)/(x^(2)-2x)
=(sin(x^(2)-2x))/(x^(2)-2x)(x^(2)-2x)/(x^(2)+3x)
=\lim_(x->0)(sin(x^(2)-2x))/(x^(2)-2x)\xi m_(x->0)(x^(2)-2x)/(x^(2)+3x)
=\lim_(x->0)
\lim_(x->0)(2x^(2)+3x)/(sin(x^(2)-5x))