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A: Given problem:-
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A: We will find the limit.
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A: Topic:- Basic algebra
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A: We can find the limit as below.
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Q: 19. The region bounded by f(x) = -4sinx , x = n ,x = 2n, and y = 0 is rotated about the y-axis. Find…
A: This question can be solved using the concept of shell method.
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A: Here, the given series has: a1=5, an+1=5n+24n+11an
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A: To differentiate the given function.
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- For the function f whose graph is given below, state the value of each quantity, if it exists. y 5t 3 2 2 (a) lim f(x) = X- 2 lim f(x) = x+2+ (b) %3D (c) lim f(x) : x-2 (d) lim f(x) = x-1 (e) f(1) = %3D 후Given the graph of f(x) at the left, determine the following: a. f(6)= b. lim f(x) = x+2 C. lim f(x) = x-6 d. lim f(x) = x-2- 6- y = f(x) 4- 2- ΟΙ 2 -~ x 2 6 8B. Consider the function f(x) whose graph is shown below. Determine the following: -3 -2 3 - -1 -3f 4. lim f(x) 5. lim f(x) 2 2 3
- Use the given graph of f to state the value of each quantity if it exists. If the quantity does not exist, explain why. A. Lim x > 2- f(x) = ? B. Lim x > 2+ f(x) = ? C. Lim x > 2 f(x) = ? D. F(2) E. Lim x > 4 f(x) = ? F. F(4)Use the graph of f in the figure to find the following values, if they exist. a. f(2) b. lim f(x) X→2 c. lim f(x) X→4 d. lim f(x) X→5 3- 0- 0 13 y = f(x) XUse the graph of g in the figure to find the following values or state that they do not exist. a. g(0) b. lim g(x) x-0 c. g(1) d. lim g(x) X→1 -2 6 y=g(k) X
- Use the graph to find the following limits and function value. a. lim f(x) X→2 b. lim f(x) X→2* c. lim f(x) X→2 d. f(2) -2 4- 2 y XC. for each value of a. If the value does not exist clearly, explain the reason. Given the graph of the function f(x) below. Determine the value of the following i.f(a) ii. lim f(x) iii. lim f(x) iv. lim f(x) a. a = -4 b. а-2 c. a = 1 d. a = 4 Graph of f(x) -5 -4 -3 -2 -1 1 2. 3 4 5 6.For the function g(x) graphed here, find the following limits or explain why they do not exist. a. lim g(x) X-1 b. lim g(x) X-2 c. lim g(x) X-3 d. lim g(x) X-2.5 6 2- ya 6 8 X Q