What is the limit as t approaches 0 of sin(2t) ?

The limit as t approaches 0 of sin(2t) is 0

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limit as t approaches 0 of sin(2t)

t \to 0 lim (sin (2 t))

0

Solution steps

t \to 0 lim (sin (2 t))

Plug in the value

t = 0

= sin (2 \cdot 0)

Simplify

sin (2 \cdot 0) : 0

= 0

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What is the limit as t approaches 0 of sin(2t) ?
The limit as t approaches 0 of sin(2t) is 0