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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
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 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 2Step by Step Solution
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