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

The limit as x approaches 1 of sin(f(x)) is sin(f(1))

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limit as x approaches 1 of sin(f(x))

x \to 1 lim (sin (f (x)))

sin (f (1))

Solution steps

x \to 1 lim (sin (f (x)))

Plug in the value

x = 1

= sin (f (1))

x \to 0 - lim (\frac{2 ∣ x ∣}{x})

x \to π lim (3 sin (x + sin (x)))

x \to 0 lim (x^{2} - 3 x + 4)

x \to 0 + lim (3 x cot (2 x))

x \to - 1 lim (3 x^{3} - 9 x^{2} + 5 x)

What is the limit as x approaches 1 of sin(f(x)) ?
The limit as x approaches 1 of sin(f(x)) is sin(f(1))