-3z if r <0 S(x) = { - In(x + 1) sin(5x) if a > 0 5z (a) Evaluate lim f(x). Show work (calculation steps or a written explanation) in order to a0+ receive full credit. (b) Is the function continuous at r = 0? Explain why or why not.

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Q: 30. Use the fact that lim x→0 sin x X = 1 (shown in video) to show lim x-0 1 - cos x X = 0

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Q: Q.No 3.) if x<-1 Let f(x)={ax+ B if -13x<1 x² +2 if x21 Find a and B, so that lim f(x) and lim f…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: