What is the limit as x approaches 1 of sin(5pix) ?

The limit as x approaches 1 of sin(5pix) is 0

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limit as x approaches 1 of sin(5pix)

x \to 1 lim (sin (5 π x))

0

Solution steps

x \to 1 lim (sin (5 π x))

Plug in the value

x = 1

= sin (5 π 1)

Simplify

sin (5 π 1) : 0

= 0

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What is the limit as x approaches 1 of sin(5pix) ?
The limit as x approaches 1 of sin(5pix) is 0