j. Limit of a constant theorem. lim k = k 3. lim 62 2. lim -3 x-2 2. lim 25 x-50 ogohor X-4 3 The linmit of v as is ogual to o

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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Activity 2. The limits
Evaluate the following limits:
j.
Limit of a constant theorem. lim k = k
2. lim -3
x-2
2. lim 25
x-50
62
3. lim
x-4 3
k.
The limit of x as x approaches c is equal to c. lim x = c
2. lim x =
x
The Constant Multiple Theorem
3. lim x =
x-36
2.
lim x =
x--3
I.
lim k. f (x) = k . lim f(x) = k.L
lim x = 2
3
2. lim –10. f(x) =
3. lim .f(x) =
*c 4
2.
lim 6. f (x) =
m. The Addition and Subtraction Theorem
3. lim -4x – 3
2. lim 6x + 12
x
2.
lim 2x – 15
x--1
x--2
n.
Limit of a constant and a Function f(x)
2. lim -4x
2. lim 100x
3. lim -2x
x-2
Xa
O.
The Multiplication Theorem
lim (3x)(x – 1)
2. lim (x + 5)(x – 2)
3. lim (5)(-10х)
x-
2.
x--4
x-13
p. The Division Theorem
x+ v2
3. lim
2x+5
lim 2
2. lim
2.
x--7
X-4 x+4
x→2
2
q. The Power Theorem
2. lim x3
x-4
2. lim 3x5 + 2x3 + 1
x--1
3. lim 2x3 + 4
r.
The Radical/Root Theorem
lim v25
2. lim (2x – 5)(Vx + 5)
3. lim vx3 + 2x – 10
X-2
5.
x-25
x--1
Transcribed Image Text:Activity 2. The limits Evaluate the following limits: j. Limit of a constant theorem. lim k = k 2. lim -3 x-2 2. lim 25 x-50 62 3. lim x-4 3 k. The limit of x as x approaches c is equal to c. lim x = c 2. lim x = x The Constant Multiple Theorem 3. lim x = x-36 2. lim x = x--3 I. lim k. f (x) = k . lim f(x) = k.L lim x = 2 3 2. lim –10. f(x) = 3. lim .f(x) = *c 4 2. lim 6. f (x) = m. The Addition and Subtraction Theorem 3. lim -4x – 3 2. lim 6x + 12 x 2. lim 2x – 15 x--1 x--2 n. Limit of a constant and a Function f(x) 2. lim -4x 2. lim 100x 3. lim -2x x-2 Xa O. The Multiplication Theorem lim (3x)(x – 1) 2. lim (x + 5)(x – 2) 3. lim (5)(-10х) x- 2. x--4 x-13 p. The Division Theorem x+ v2 3. lim 2x+5 lim 2 2. lim 2. x--7 X-4 x+4 x→2 2 q. The Power Theorem 2. lim x3 x-4 2. lim 3x5 + 2x3 + 1 x--1 3. lim 2x3 + 4 r. The Radical/Root Theorem lim v25 2. lim (2x – 5)(Vx + 5) 3. lim vx3 + 2x – 10 X-2 5. x-25 x--1
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