{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

hw 3 - What is the value of the limit lim x 1 x-1 x 2-6 x 5...

This preview shows pages 1–2. Sign up to view the full content.

Calculus for the Life Science I MAT1330A , MAT1330B, MAT1330E Assignment 3 Due date: Oct. 7 Instructor (circle one): Jing Li , Catalin Rada , Frithjof Lutscher DGD (circle one): 1 , 2 , 3 , 4 Student Name (printed): Student ID Number: Question 1 To estimate the limit lim x 0 f ( x ), where f ( x ) = e x - 1 - x x 2 , one may use sequences of numerical values for x approaching 0. a ) Give two sequences to estimate the limit. A few terms for each sequence is enough. x n f ( x n ) and x n f ( x n ) b ) We may conclude that lim x 0 f ( x ) = . Question 2 Does the limit lim x 2 | x - 2 | x - 2 exist ? Answer : Justify your answer in one line. . Question 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: What is the value of the limit lim x 1 x-1 x 2-6 x + 5 ? Answer : Justify your answer without using sequences of numerical values for x . 2 . Question 4 We consider the function f ( x ) = ( if x Q x 2 if x 6 Q a ) Is the function f continuous at x = 0 ? Answer : Justify your answer in one line. b ) Does the derivative of f exist at x = 0 ? Answer : Justify your answer in one line. . Note : Try to visualize the graph of f in your mind. Is it a nice continuous curve ?...
View Full Document

{[ snackBarMessage ]}

Page1 / 2

hw 3 - What is the value of the limit lim x 1 x-1 x 2-6 x 5...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online