Question

Determine the limit algebraically.

Answer 1

#30 How do I solve it without L'Hopital.

Answer 2

\[3\frac{ (\sin4x)/x }{ (\sin3x)/x }=4*3/3=4\]

Answer 3

How did that fraction become 4 ✖ 3/3?

Answer 4

😣 I don't understand.

Answer 5

limit x ->0 sinx/x=1

Answer 6

Ok

Answer 7

so\[ \lim_{x \rightarrow 0} 4*\frac{ \sin(4x) }{ (4x) } =4\]
the other fraction solved by the same logic