Question

x>0lim5x-7sinx/3x

Answer 1

\[\lim_{x \rightarrow 0}5x-7sinx/3x\]

Answer 2

The limit of a sum is the sum of the limits

Answer 3

/ mean division

Answer 4

Mertsj! I'm From Iran

Answer 5

I don't type English

Answer 6

my english is very bad

Answer 7

\[limsin3x -\sin5x \div3x\]

Answer 8

\[\lim 5x-\frac{7\sin(x)}{3x}=5(limx)-\frac{7}{3}(\lim\frac{\sin(x)}{x})\]

Answer 9

The limit of x as x approaches 0 is 0

Answer 10

So we have
\[\frac{-7}{3}(\lim\frac{\sin(x)}{x})\]

Answer 11

\[\frac{-7}{3}\lim\frac{\sin (x)}{x}=\lim\frac{\frac{d \sin (x)}{dx}}{\frac{dx}{dx}}\]

Answer 12

\[\frac{-7}{3}(\lim \cos (x))=\frac{-7}{3}\]

Answer 13

So -7/3 is the desired limit.