Calculus II Tutorial 3: Limit and Function Continuity

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6 Questions

What is the value of lim (4+1) as i approaches 15?

43,018

What is the Riemann sum approximation of f(x)dx on the interval [1, 10] using the subintervals [1, 3], [3, 7], [7, 9], and [9, 10]?

620

What is the value of ∫(4f(x) — 2g(x))dx if ∫f(x)dx = 1 and ∫g(x)dx = 4?

5

If f and g are continuous functions, which of the following must be true?

II only

What is the value of ∫f(x)dx if f is a continuous function with slope m and y-intercept b?

m + b

What is the area under the graph of the function f(x) = 32+2x on the interval [1, 3]?

4+2n3

Solve calculus problems, including finding the value of a limit and determining the continuity of a function on a closed interval. Practice your math skills with these tutorial questions.

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