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For items 3 – 9. Evaluate the following limits. (3 points each) 3) lim (1+ Vw) (2 – w² + 3w³) w→1 t2 – 1 4) lim t→-2 t2 +3t – 1 2z + z 23 5) lim z→2 z2 + 4

For items 3 – 9. Evaluate the following limits. (3 points each) 3) lim (1+ Vw) (2 – w² + 3w³) w→1 t2 – 1 4) lim t→-2 t2 +3t – 1 2z + z 23 5) lim z→2 z2 + 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What can be said about lim f(x)? Does it exist or not? Why? BASIC CALCULUS Week 1 Written Works (30 points) Answer the following problems. Write your answers on a yellow sheet of paper. For items 3 – 9. Evaluate the following limits. (3 points each) 1) Consider the function f(x) whose graph is shown below. (1 point each) 3) lim (1+ Vw) (2 – w² + 3w³) w-1 t2 – 1 4) lim t→-2 t2 + 3t – 1 3 (2z +z² 5) lim z→2 z2 + 4 -1.- -5 -41 -3 -1 4 х2 — х — 2 6) lim х-0 х3 — 6х2 — - 7x + 1 4 - Зу? - уз 7) lim у--2 6 — у — у? Determine the following: a. lim f(x) d. lim f(x) x² + 3 – 2 8) lim x2 + 1 b. lim, f(x) X→-1 e. lim f(x) x→5 I-1 2x – V6 – x c. lim f(x) 9) lim x→2 4 + x² 2) Consider the function f(x) =- whose graph is shown below. (4 points) Performance Task (50 points) Title: Limit of a Function Directions: Search scenario that illustrates a limit. Explain the relevance of the illustration to limits. or draw a real-life Criteria: Content – 30 points Creativity – 20 points Total – 50 points -4 -3 -2 1 3 4 -S irLeigh
Transcribed Image Text:What can be said about lim f(x)? Does it exist or not? Why? BASIC CALCULUS Week 1 Written Works (30 points) Answer the following problems. Write your answers on a yellow sheet of paper. For items 3 – 9. Evaluate the following limits. (3 points each) 1) Consider the function f(x) whose graph is shown below. (1 point each) 3) lim (1+ Vw) (2 – w² + 3w³) w-1 t2 – 1 4) lim t→-2 t2 + 3t – 1 3 (2z +z² 5) lim z→2 z2 + 4 -1.- -5 -41 -3 -1 4 х2 — х — 2 6) lim х-0 х3 — 6х2 — - 7x + 1 4 - Зу? - уз 7) lim у--2 6 — у — у? Determine the following: a. lim f(x) d. lim f(x) x² + 3 – 2 8) lim x2 + 1 b. lim, f(x) X→-1 e. lim f(x) x→5 I-1 2x – V6 – x c. lim f(x) 9) lim x→2 4 + x² 2) Consider the function f(x) =- whose graph is shown below. (4 points) Performance Task (50 points) Title: Limit of a Function Directions: Search scenario that illustrates a limit. Explain the relevance of the illustration to limits. or draw a real-life Criteria: Content – 30 points Creativity – 20 points Total – 50 points -4 -3 -2 1 3 4 -S irLeigh
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