What is the limit as x approaches 0 of (sin(3/8)x)/x ?

The limit as x approaches 0 of (sin(3/8)x)/x is sin(3/8)

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limit as x approaches 0 of (sin(3/8)x)/x

x \to 0 lim (\frac{sin ( \frac{3}{8} ) x}{x})

sin (\frac{3}{8})

Decimal Notation

0.36627 \dots

Solution steps

x \to 0 lim (\frac{sin ( \frac{3}{8} ) x}{x})

Cancel the common factor:

x

= x \to 0 lim (sin (\frac{3}{8}))

x \to a lim c = c

= sin (\frac{3}{8})

x \to \infty lim (\frac{5 x + 7}{6 x ^{2} + 3 x - 2})

k \to \infty lim ((1 - \frac{1}{2 k})^{k})

x \to \infty lim (x^{3} + 4)

x \to 0 lim (\frac{x + 6}{x ^{2}})

s \to 1 + lim (\frac{in s}{s - 1})

What is the limit as x approaches 0 of (sin(3/8)x)/x ?
The limit as x approaches 0 of (sin(3/8)x)/x is sin(3/8)