3. Evaluate the following limits: a) lim 3x² − x+7 x→3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please help with all sub parts. I BEG of you

b) lim
x²-25
x→4 x+5
c) lim
x→0
·
√x+5-√5-x
X
Transcribed Image Text:b) lim x²-25 x→4 x+5 c) lim x→0 · √x+5-√5-x X
3. Evaluate the following limits:
a)
x23x² - x + 7
Transcribed Image Text:3. Evaluate the following limits: a) x23x² - x + 7
Expert Solution
Step 1: Define the problem

To find 

  1. limit as x rightwards arrow 3 of 3 x squared minus x plus 7
  2. limit as x rightwards arrow 4 of fraction numerator x squared minus 25 over denominator x plus 5 end fraction
  3. limit as x rightwards arrow 0 of fraction numerator square root of x plus 5 end root minus square root of 5 minus x end root over denominator x end fraction
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