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Doudu II OPPOI DU WILL 7. Manually find the limits (no tables or graphs). Answers must...
4. Find the following limits by using L'Hôpital's rule. 1 + a) lim.-o 3 x cosx-sinx b) lim-o x sinx lim x-1x-1. c)
4. Find the following limits by using L'Hôpital's rule. 1 + a) lim.-o 3 x cosx-sinx b) lim-o x sinx lim x-1x-1. c)
1. (9 points) Referring to the graphs given below, use properties of limits to find each limit. If a limit does not exist then state that it does not exist. y = f(x) y = 8(%) R -1 - 1 -2 lim f(x) - lim g(x)- 10 10 lim x-0 g(x) lim f(x) - lim g(x)= lim (f(x) + g(x)]- lim f(x) - lim g(x) - 8(x) lim x- f(x)
2. (7 points each) Find the exact value of each of the following limits. Write".0,""-.0,"or "does not exist” if appropriate. It is particularly important to show your work on this problem. x3-4x a. lim x-2- x2-4x+4 2x4+4x b. lim X+0 3x4-4x+4 sin v c. lim X+0 VX
Step 7 of 9 Find lim f(x) by looking at the right-hand and left-hand limits as x approaches 0. X-O x? - 49 lim f(x) = lim x-0 xto x² + 7x X and the denominator approaches As X - 0 , the numerator approaches zero by negative numbers Ther Enter a number. x2 - 49 +00 lim x-o- x² + 7x X and the denominator approaches As x - 07, the numerator approaches zero by positive numbers Therefore x²...
Referring to the graphs given below, use properties of limits to find each limit. If a limit does not exist then state that it does not exist. y = f(x) y = g(x) lim f(x)= lim g(x) = f(x) x- lim x+0 g(x) lim lim g(x) = lim [f(x)+g(x)] = x-1 lim f(x) = lim g(x) = lim --+ f(x) h- h derivative of f(x) = 2x² + 3x is f'(x) = 4x +3. The steps are what count here!...
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9. (a) Use the Tables of Fourier transforms, along with the operational theorems, to find the inverse Fourier transform of iw 4 + 9 w2 9 w2 (b) The function f(t) satisfies the integral equation: OO -4u Н(u) du + 6sgn(t) е З, f(t) 0- ft - u) е" = 4 e -OO Find the Fourier transform of the function f(t) and hence find the solution f(t) 7 "(1-)н, (b) Transform the equation by using the convolution Theorem:...
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5. (8 points each) Find the limits: V3x2-6 (a) lim X--00 2x -9x (b) lim X-0.x2-sinx COS X (c) lim -X
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Find the given limits. a) lim 24-7 x² + 2x - 35 3 + 7 1 b) lim – +3= 2002
LAB 1 LIMITS&GRAPHS (NOTE: You can use Microsoft Mathematics, Derive, Wolframalpha or any other Computer Algebra System of your choice. Your final report must be clear and concise. You must also providesufficient comments on your approach and the final results in a manner that will make your report clear and accessible to anyone who is familiar with the basic concepts, operations and applications of calculus I.) Your work should be submitted as a Derive 5.0, MS Word or a pdf...
1. (10 points) Find the following limits, if they exist. a) lim X+2 x 7.-3+ x +3 b) lim XCSCX x → 211