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Hi there! I'm currently only stuck on part e) and looking for assistance. The function is given at the top of the first image. D21

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Hi there! I'm currently only stuck on part e) and looking for assistance. The function is given at the top of the first image.

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D21 Assignment 2 - MAT1330[C] Calculus Life Sciences | [LEC] 20229 - Work - Microsoft Edge X https://uottawa.brightspace.com/d21/le/content/321242/fullscreen/4855957/View Assignment 2 Question 1 Consider the function f defined by f(x) = 6+2e-5x . Our goal in this question is to understand its behaviour as r goes to too, as well as near gaps in 5-16e-5x 1 point its domain. How Did I Do? a) First compute lim f(x). Answer. 6/5 I-+00 b) Next we want to compute the limit in the opposite direction. As a goes to -oo, we get an indeterminate form of the type 0 100 0 00 - 00 0/0 0 0 0 0 X D0 00/00 c) To be able to compute lim f(x), you have to rewrite f(x) as a fraction f(x) = P(I) that is no longer an indeterminate form. What are P(I) I-+-00 Q (I) and Q(I) ? FORMATTING: . Write your answer in the form [P(I), Q(I)], including the square brackets and comma. . Simplify so there are no fractional expressions in the numerator P() or denominator Q (I). . Strict calculator notation is required in your answer, meaning * for multiplication (e.g. 3x is written 3*x, and eST is written e^(3*x)). Answer. [P(z), Q(z)] = d) Using your answer in (c), compute lim f(). Answer: 1/8 I-+-00 Finally, we analyse f(z) near gaps in its domain. Submit Assignment Quit & Save Back Question Menu - Next 2'C OLDE ENG 8:30 AM Sunny 2022-11-03 2 US121 Assignment 2 - MAT13 x Q how to rationalize - Bil x Q how to find limits calc X Sy limit as x approaches- x Q coursehero - Search x * Dashboard X + X G https://uottawa.brightspace.com/d21/le/content/321242/viewContent/4855957/View S.G Assignment 2 v Q d) Using your answer in (c), compute lim f(x). Answer. -1/8 I-+-00 Finally, we analyse f(r) near gaps in its domain. e) Find the point(s) z = a where f(a) is undefined. + FORMATTING: List these points. If there are two or more such points, you must separate them by semi-colons (;). Since we are asking for exact values, your answers may involve the logarithm function In(). Answer: (-1/5)*In(5/16) f) For each of the values of \\)a\\) that you have found in (e), find the left-hand and right-hand limits of f as a approaches a. Then answer the questions below. FORMATTING: If there are two or more points, separate them with semi-colons (). Since we are asking for exact values, your answers may involve the logarithmic function In()). You must use the notation of scientific calculators So 2x is written 2 * x, and so on. If there aren't any points, write empty. For which point(s) a do we have lim f(x) = too ? Answer: I-+a For which point(s) a do we have lim f(x) = -00 ? Answer. For which point(s) a do we have lim f(x) = +co ? Answer: I-+at For which point(s) a do we have lim f(x) = -00 ? Answer. I-+at Submit Assignment Quit & Save Back Question Menu - Next 2'C OLD ENG 8:32 AM BOX O Sunny US 2022-11-03 2

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