and give EXACT answer (no decimals). (a) lim 0–૫ 1 2h+3 (b) lim x-2 h 1 3 Find the limit algebraically. Show your work √2-x-2 x + 2

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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Question
2.
and give EXACT answer (no decimals).
1
(a) lim 2h+3
h→0
h
(b) lim
x →→2
1
3
Find the limit algebraically. Show your work
√2-x
- x - 2
x + 2
Transcribed Image Text:2. and give EXACT answer (no decimals). 1 (a) lim 2h+3 h→0 h (b) lim x →→2 1 3 Find the limit algebraically. Show your work √2-x - x - 2 x + 2
Expert Solution
Step 1: Given the information

The given limits,

(a) limit as h rightwards arrow 0 of fraction numerator fraction numerator 1 over denominator 2 h plus 3 end fraction minus 1 third over denominator h end fraction

(b) limit as x rightwards arrow negative 2 of fraction numerator square root of 2 minus x end root minus 2 over denominator x plus 2 end fraction

The aim is to find the limits.

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