Write the interval of continuity for the function below: cos(x)/25 – x? f(æ) x2 + 11x + 28 (-7,-5) u (-4,5)

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Q: If f(4) = 14, f' is continuous, and f'(x) dx = 16, what is the value of f(7)? %3D f(7) = %3D

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Q: Write the interval of continuity for the function below: cos(x)/25 – x² - f(x) = x2 + 11x + 28

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Q: If f(5) = 12, f 'is continuous, and f '(x) dx = 18, what is the value of f(6)? %3D %3D f(6) = %3D

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Q: If f(5) = 14, f' is continuous, and f '(x) dx 20, what is the value of f(7)? %3D f(7) =

A: Consider the given integral is, I=∫57f'(x)20=f(x)5720=f(7)-f(5)f(7)=20+f(5)f(7)=20+14f(7)=34

Q: If f(1) = 14, f'is continuous, and f '(x) dx = 19, what is the value of f(5)? %3D f(5) =

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.