What is the limit as x approaches 0 of (sin(x))/x+3 ?

The limit as x approaches 0 of (sin(x))/x+3 is 4

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limit as x approaches 0 of (sin(x))/x+3

x \to 0 lim (\frac{sin ( x )}{x} + 3)

4

Solution steps

x \to 0 lim (\frac{sin ( x )}{x} + 3)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 lim (\frac{sin ( x )}{x}) + x \to 0 lim (3)

x \to 0 lim (\frac{sin ( x )}{x}) = 1

x \to 0 lim (3) = 3

= 1 + 3

Simplify

= 4

f (x) = arccos (e^{x})

\frac{\partial}{\partial y} (x - y^{2})

x \to 0 lim (\frac{6 x ^{2}}{x ^{2}})

\frac{\partial}{\partial x} (e^{- x^{5} - y^{3}})

y + 2 y^{^{'}} + 5 y = 4 \cdot e^{- t} \cdot cos (2 t)

What is the limit as x approaches 0 of (sin(x))/x+3 ?
The limit as x approaches 0 of (sin(x))/x+3 is 4