The work below is not correct. There are a few errors. Indicate all the errors that are presented below. f(x) = V1– a? f(x + h) – f(x) = lim h→0 f' (x) (1) h - (x + h)² – V1 - 72 = lim h→0 (2) h 1 – x² + 2xh + h² – /1 – x² V lim h→0 (V1 – x² + 2xh + h² + /1 – æ² (3) 1- x2 + 2xh + h² + 1+ x2 = lim h→0 (4) h 2+ 2xh + h² = lim h→0 (5) = lim 2 + 2x + h h→0 (6) = 2 + 2x (7) In line (1), the Definition of the Derivative is not correct. In line (2), f(x +h) is not evaluated correctly. In line (3), there are 1 or more sign errors. In line (3), the expression should be divided by the conjugate of the numerator. In line (4), there are 1 or more sign errors. In line (5), there should be an x² term. In line (5), it is not a valid step to cancel out a factor of h in the numerator There is incorrect use of limit notation in this work.

The work below is not correct. There are a few errors. Indicate all the errors that are presented below. f(x) = V1– a? f(x + h) – f(x) = lim h→0 f' (x) (1) h - (x + h)² – V1 - 72 = lim h→0 (2) h 1 – x² + 2xh + h² – /1 – x² V lim h→0 (V1 – x² + 2xh + h² + /1 – æ² (3) 1- x2 + 2xh + h² + 1+ x2 = lim h→0 (4) h 2+ 2xh + h² = lim h→0 (5) = lim 2 + 2x + h h→0 (6) = 2 + 2x (7) In line (1), the Definition of the Derivative is not correct. In line (2), f(x +h) is not evaluated correctly. In line (3), there are 1 or more sign errors. In line (3), the expression should be divided by the conjugate of the numerator. In line (4), there are 1 or more sign errors. In line (5), there should be an x² term. In line (5), it is not a valid step to cancel out a factor of h in the numerator There is incorrect use of limit notation in this work.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 2E

See similar textbooks

Similar questions

5x−12/x^2−x−42 has vertical asymptote(s) at x=
Solve for A and B so that F(x) has a limit at both x=2 and x=4
Find the Taylor polynomial of degree 3 for sin⁡(x), for x near 0:P3(x)= Approximate sin(x) with P3(x) to simplify the ratio:sin(x)/x= Using this, conclude the limit:lim x→0 sin(x)/x=
How do you evaluate the limit as t approaches 0 (1/t*the square root of 1 + t - 1/t) with the solution -1/2?
We consider the rational function f(x) = p(x)/ q(x) = 2x ^2 + cx − 4c / x^2 − x − 2 . Here c is an unknown constant. If the limit L = limx→2 f(x) is a finite number, then what is c?
find the limit as x goes to infinity of ln(x+1/x+2)
In the function: f(x)= (3x^2)ln(x) , x>0 What are the vertical asymptotes?
Why is it that lim of ln|t-1/t+2| = ln|1|? This then yields us 0. But how did we get 1 from infinity over infinity?
evaluate the limit: limit of the square root of 1+t - square root of 1-t / t as t approaches 0
Find the limit of (x3+x2)1/2sin(((2)1/2pi)/x) as x approaches 0
2. Give an example showing that, even if f0(c) = 0, it could happen that f(x) does not have a localmaximum or minimum at x = c. How is this consistent with Fermat’s Theorem in the book?
1. Find the absolute maximum and minimum values of f(x)=10x(2-lnx) on [1,e^2] 2. Find the limil. Uisng L'Hopital's Rule : lim x arrow 0 sin^2(3x)/4x