Question

lim tanx/(1-cosx)

Answer 1

multiply and divide by x(1+cos x)

Answer 2

IT IS APPROACHING TO WHAT ZERO OR INFINITY

Answer 3

\[\frac{ tanx }{ 1-cosx }=\frac{ (tanx)(1+cosx) }{ (1-cosx)(1+cosx) }=\frac{ tanx+tanx*cosx }{ 1-\cos ^{2}x }\]
\[tanx*cosx=\frac{ sinx }{ cosx }*cosx=sinx\]
\[1-\cos ^{2}x=\sin ^{2}x\]
can you continue??

Answer 4

\[
\frac{\frac{\partial \tan (x)}{\partial x}}{\frac{\partial
(1-\cos (x))}{\partial x}}=\frac{\sec ^2(x)}{\sin (x)}- > \pm \infty

\]
If x>0 the the limit is +Infinity
If x<0 the the limit is -Infinity