What is the limit as t approaches 2 of sin(pi/4 t) ?

The limit as t approaches 2 of sin(pi/4 t) is 1

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limit as t approaches 2 of sin(pi/4 t)

t \to 2 lim (sin (\frac{π}{4} t))

1

Solution steps

t \to 2 lim (sin (\frac{π}{4} t))

Plug in the value

t = 2

= sin (\frac{π}{4} \cdot 2)

Simplify

sin (\frac{π}{4} \cdot 2) : 1

= 1

x \to 1 lim (\frac{x ^{2 n} - 2 x ^{n} + 1}{x ^{2 m} - 2 x ^{m} + 1})

\int \frac{( 2 x ^{2} + 3 )}{x ( x - 1 ) ^{2}} d x

\int (cos (x) + 1)^{2} d x

\frac{d P}{d t} = Pt, P (1) = 2

\int 2 x + x^{2} d x

What is the limit as t approaches 2 of sin(pi/4 t) ?
The limit as t approaches 2 of sin(pi/4 t) is 1