Question

Stuck on this

Answer 1

\[\lim_{x \rightarrow 0} \frac{ x(1-\cos x) }{ \tan^3x }\]

Answer 2

So far I simplified the denominator to sin^3x/ cos^3x and I have x(1-cos x) cos^3x / sin^3x

Answer 3

first take that x to the denominator and convert one tan to tan(x)/x = 1 . Now the expression left is square term in tanx convert it to sin^2x/cos^2x then convert sin to cos using sin^2x + cos^2x =1 and then use a^2-b^2 = (a+b)(a-b) for (1- cos^2x) term

Answer 4

I don't understand how you took out the x. Did you divide by x? Did you divide the whole equation or both the numerator and the denominator?