What is the limit as x approaches 0 of (sin(3/5)x)/x ?

The limit as x approaches 0 of (sin(3/5)x)/x is sin(3/5)

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limit as x approaches 0 of (sin(3/5)x)/x

x \to 0 lim (\frac{sin ( \frac{3}{5} ) x}{x})

sin (\frac{3}{5})

Decimal

0.56464 \dots

Solution steps

x \to 0 lim (\frac{sin ( \frac{3}{5} ) x}{x})

Cancel the common factor:

x

= x \to 0 lim (sin (\frac{3}{5}))

x \to a lim c = c

= sin (\frac{3}{5})

\int cos^{4} (5 x) d x

\frac{d}{d x} (sin (2 x) + 10)

\frac{5}{x ^{2}}

\int_{0}^{1.75} 1250 x d x

y^{^{'}} + 3 y = x^{2}

What is the limit as x approaches 0 of (sin(3/5)x)/x ?
The limit as x approaches 0 of (sin(3/5)x)/x is sin(3/5)