Selbz – x² l1 - 6x a < 0 Evaluate the following limits for h(x) = I >0 (i) lim h(x) (ii) lim h(x) (iii) lim h(x) z-0

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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Answer all the following Questions. Write the Answers on the paper and upload as a single PDF.
PROBLEM: B1 [1.5 MARKS]
S e&z – x²
|1– 6x
z < 0
x > 0
Evaluate the following limits for h(x) =
() lim h(x) (ii) lim h(x) (iii) lim h(x)
PROBLEM: B2 [1.5 MARKS]
Find the slope and equation of the tangent line to f(x) = 5 – 4x at a = 2 using the definition.
PROBLEM: B3 [3 MARKS]
Determine whether the following function is continuous at the given point x = :
22² + 11æ – 6
1
2x – 1
13
2
f(x) =
2
Transcribed Image Text:Answer all the following Questions. Write the Answers on the paper and upload as a single PDF. PROBLEM: B1 [1.5 MARKS] S e&z – x² |1– 6x z < 0 x > 0 Evaluate the following limits for h(x) = () lim h(x) (ii) lim h(x) (iii) lim h(x) PROBLEM: B2 [1.5 MARKS] Find the slope and equation of the tangent line to f(x) = 5 – 4x at a = 2 using the definition. PROBLEM: B3 [3 MARKS] Determine whether the following function is continuous at the given point x = : 22² + 11æ – 6 1 2x – 1 13 2 f(x) = 2
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