What is the limit as x approaches-4 of sin(2pix) ?

The limit as x approaches-4 of sin(2pix) is 0

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limit as x approaches-4 of sin(2pix)

x \to - 4 lim (sin (2 π x))

0

Solution steps

x \to - 4 lim (sin (2 π x))

Plug in the value

x = - 4

= sin (2 π (- 4))

Simplify

sin (2 π (- 4)) : 0

= 0

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What is the limit as x approaches-4 of sin(2pix) ?
The limit as x approaches-4 of sin(2pix) is 0