question 5. Solution should have the "variable" "h". 1. Evaluate limX→∞2. Evaluate limx →∞x5 +999x¹ +453x²3x5 + 133. Evaluate lim (√√9x² + 5x − 3x).X→∞.-7x³ + 8x² + 21x + 23x4+1Indicate the limit laws you use.limh→0x² +1xx-7x³ + 8x² + 21x + 23and lim4. The given limit represents the derivative of some function f evaluated at some number a.That is, it is f'(a) for some f(x) and some a. Determine these. :( + h)² + sin ( + h) − (+1)h5. Use the limit definition of derivatives to compute f'(x), where f(x) = ax² + bx+c. Assumethat a, b, c are constants.6. Use the limit definition of derivatives to compute f'(t), where f(t)1=7t + 5*

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Answered: h→0 h 5. Use the limit definition of…

h→0 h 5. Use the limit definition of derivatives to compute f'(x), where f(x) = ax²+bx+c. Assume that a, b, c are constants. 7

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 51E

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Question

question 5. Solution should have the "variable" "h".

1. Evaluate lim
X→∞
2. Evaluate lim
x →∞
x5 +999x¹ +453x²
3x5 + 13
3. Evaluate lim (√√9x² + 5x − 3x).
X→∞
.
-7x³ + 8x² + 21x + 23
x4+1
Indicate the limit laws you use.
lim
h→0
x² +1
xx-7x³ + 8x² + 21x + 23
and lim
4. The given limit represents the derivative of some function f evaluated at some number a.
That is, it is f'(a) for some f(x) and some a. Determine these. :
( + h)² + sin ( + h) − (+1)
h
5. Use the limit definition of derivatives to compute f'(x), where f(x) = ax² + bx+c. Assume
that a, b, c are constants.
6. Use the limit definition of derivatives to compute f'(t), where f(t)
1
=
7
t + 5*

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