HW1.pdf - Fall 2020 Section 006 Math 140 Calculus with...

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Math 140 Calculus with Analytic Geometry I Fall 2020 Section 006 Math 140 Calculus with Analytic Geometry I Fall 2020 Section 006 Math 140 Calculus with Analytic Geometry I Fall 2020 Section 006 Homework 1: 15 points Due Wednesday January 29, 2020 Submit solutions of the Star-marked ( F ) problems ONLY. (Use, NOT the question paper itself, but other set of papers to do the solutions) Show all the details of your work explaining your steps. Three or four randomly selected problems will be graded. Correct, complete with details and well written work will get full credit. F 1. Let f ( x ) = x 3 - 8 x 2 - 16 . Find the limits a) lim x →- 2 f ( x ) b) lim x 0 f ( x ) c) lim x 2 f ( x ) 2. Let g ( t ) = 2 + t 4 - t 2 2 / 3 . Find the limits a) lim t 1 g ( t ) b) lim t 2 g ( t ) c) lim t →- 2 g ( t ) F 3. Let f ( x ) = x 2 + x - 2 and g ( x ) = x 2 + 2 x . Compute each of the following limits.
F 4. For the function graphed below, find the following values and limits. If a limit does not exist or a value is not defined, write ”DNE”.

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