Write the limit as a definite integral on the given interval, where c; is any point in the ith subinterval. -8 lim ||A|| → 0 n i = 1 (5c; +5) Ax;, [-8, 6] dx

Q: Write the limit as a definite integral on the interval [a, b], where c; is any point in the ith…

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Q: Express the limit as a definite integral on the given interval. im. (4(x;") - 3x;JAx, [2, 7] i = 1 7…

A: By limit definition of a definite integral, limn→∞∑i=1nfxi*∆x=∫ab f(x)dx  where ∆x=b-an and…

Q: 3. Evaluate I° + dz by taking a regular partition of an appropriate interval, using the right…

A: Introduction: Create a rectangle on each subinterval [xi-1,xi], but this time the height of the…

Q: if I 2 1. Determine the constant k such that the function f(r) is continuous at I = 2.

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Q: 2 2. Express the limit lim E(-1+4): as a definite integral. DO NOT Evaluate it. i=1

A: The given limit is: limn→∞∑i=1n-1+2in2n To express the given limit as a definite integral.

Q: Answer the question. x2+1, -1sx<0 0<x<1 5x, f(x) = -3, x = 1 -5x + 10 1<x<3 4, 3<x<5 d -6. 6.S... L…

A: Topic:- function and it's continuity

Q: Given L (-3x+10)dx Rewrite the definite integral as the limit of an infinite sum (using a right…

A: Step 1:I=∫15​(−3x+10)dx​Step 2:​Using Riemann…

Q: Express the limit as a definite integral on the given interval. x; In(1 + x3) Ax, [2, 3] lim 3 dx

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Q: Select the expression that gives the limit, lim n→∞ N O x² dx x³ [²3/0 [2² dx x² dx S None of the…

A: limn→∞∑i=1nf(xi)∆x=∫abf(x)dx where [a,b] is the bound of the definite integralHere ∆x=b-an

Q: Which of the following correctly expresses the limit lim as a definite integral? n5 i=1 1 A. x³ dx…

A: Given query is to find correct integral form

Q: S) Let f(x) = {x² –a²x if if x 2 . Find all value(s) of a that make f - ontinuous at 2. Justify your…

A: Given query is to find the values of a for which f(x) is continuous at x = 2

Q: Evaluate the limit of x —> negative infinity. Cos (2x) / x+25

A: To find limx→ -∞ cos2xx+25