What is the limit as x approaches 1 of (3sin(pix)-sin(3pix))/(x^3) ?

The limit as x approaches 1 of (3sin(pix)-sin(3pix))/(x^3) is 0

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limit as x approaches 1 of (3sin(pix)-sin(3pix))/(x^3)

x \to 1 lim (\frac{3 sin ( π x ) - sin ( 3 π x )}{x ^{3}})

0

Solution steps

x \to 1 lim (\frac{3 sin ( π x ) - sin ( 3 π x )}{x ^{3}})

Plug in the value

x = 1

= \frac{3 sin ( π 1 ) - sin ( 3 π 1 )}{1 ^{3}}

Simplify

\frac{3 sin ( π 1 ) - sin ( 3 π 1 )}{1 ^{3}} : 0

= 0

\frac{s - 5}{s ^{2} - 6 s + 25}

t^{2} - 10 t + 31

\int 1 + 4 a^{2} x^{2} d x

\int ln (x - 2) d x

y = \frac{1}{x ^{3}}, (1, 1)

What is the limit as x approaches 1 of (3sin(pix)-sin(3pix))/(x^3) ?
The limit as x approaches 1 of (3sin(pix)-sin(3pix))/(x^3) is 0