tolong ya kawan-kawan :)
Jawab:
limit trigonometri
[tex]\sf lim_{x\to 0}~ \dfrac{2}{x^2} - \dfrac{sin~2x}{x^2.tan~ x}[/tex]
[tex]\sf lim_{x\to 0}~ \dfrac{2~tan~ x - sin2x}{x^2.tan ~ x}[/tex]
[tex]\sf lim_{x\to 0}~ \dfrac{2~tan~ x - 2.sin~x. cos~x}{x^2.tan ~ x}[/tex]
[tex]\sf lim_{x\to 0}~ \dfrac{2~tan~ x - 2.sin~x. cos~x}{x^2.tan ~ x}[/tex]
kali cos x/cosx
[tex]\sf lim_{x\to 0} ~ \dfrac{2 sin ~ x - 2 sin ~ x .cos^2 ~ x}{x^2. sin ~x}[/tex]
[tex]\sf lim_{x\to 0} ~ \dfrac{2 sin ~ x (1- cos^2 ~ x)}{x^2. sin ~x}[/tex]
[tex]\sf lim_{x\to 0} \dfrac{2sin~ x . sin^2~ x}{x^2.sin~ x}[/tex]
[tex]\sf limit = \dfrac{2x. x^2}{x^2. x} = 2[/tex]
[answer.2.content]