Question

Why does lim x tends to 0 of sinx/tanx = 1 ? just can't see it

Answer 1

Sin (x) / Tan (x) = Cos (x)
since Tan(x) = Sin(x)/ Cos(x)
and lim x-> 0 Cos(x) = 1
since Cos(0) = 1

Answer 2

Is that a basic formula... Cosx = sinx/tanx??? Maybe I missed that Reading accidentally?

Answer 3

Because tan(x) = sin(x)/cos(x), sin(x) divided by sin(x)/cos(x) is the same thing as sin(x)*cos(x)/sin(x). Cancel sin(x) and you're left with cos(x) with x approaching zero.

Answer 4

Wonderful!!!Got it now! The answer always seems so simple after it's explained! Thank you again!