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

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

Matching exercise

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

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