Prove that f(x)=sin xx, if x<0x+1, if x≥0 is everywhere continuous.

Prove that $f (x) = \{\begin{cases} \frac{\sin x}{x}, i f x < 0 \\ x + 1, i f x \geq 0 \end{cases}$ is everywhere continuous.

Matching exercise

Match the items on the right to the items on the left.

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