What is the limit as x approaches 0 of (sin(k)t)/t ?

The limit as x approaches 0 of (sin(k)t)/t is sin(k)

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limit as x approaches 0 of (sin(k)t)/t

x \to 0 lim (\frac{sin ( k ) t}{t})

sin (k)

Solution steps

x \to 0 lim (\frac{sin ( k ) t}{t})

x \to a lim c = c

= \frac{sin ( k ) t}{t}

Cancel the common factor:

t

= sin (k)

x \to 0 lim (\frac{sin ( x )}{8 x + tan ( x )})

x \to 3 - lim ((4 x) - 3 x)

x \to in f ini t e lim (\frac{1}{x})

x \to 3 lim (x^{2} - 5 x + 4)

x \to 1 lim (3 x^{2} - 4)

What is the limit as x approaches 0 of (sin(k)t)/t ?
The limit as x approaches 0 of (sin(k)t)/t is sin(k)