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Limits & Continuitymedium
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Let f(x)f(x)f(x) be defined by f(x)={sin⁡(ax)xx<0b+x2x≥0f(x) = \begin{cases} \frac{\sin(ax)}{x} & x < 0 \\ b + x^2 & x \geq 0 \end{cases}f(x)={xsin(ax)​b+x2​x<0x≥0​. For f(x)f(x)f(x) to be continuous at x=0x = 0x=0, which of the following conditions must be satisfied?