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Limits of Sums, Differences, and Constant Multiples

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Problems 1

Let lim⁡x→32sin⁡(x)=a\lim_{x \to 3} 2\sin(x) = alimx→32sin(x)=a and lim⁡x→1ex=b\lim_{x \to 1} e^x = blimx→1ex=b. What is lim⁡x→14sin⁡(3x)+3ex\lim_{x \to 1} 4\sin(3x) + 3e^xlim…