{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

f07HW3 - MAT 125A Homework 3 M.Fukuda Please submit your...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MAT 125A Homework 3 M.Fukuda Please submit your answers at the discussion session on October 25th Thursday. You can use theorems in the lecuture unless otherwise stated. When you do so write those statements clearly instead of quoting them by numbers. 1. Let s,t R and f 1 ,f 2 : ( s,t ) R . Take a ( s,t ) and, suppose lim x a - f 1 ( x ) and lim x a - f 2 ( x ) exist. Let L i = lim x a - f i ( x ) for i = 1 , 2. 1) Suppose L 1 ,L 2 R . Then, show that L = lim x a - f 1 ( x )+ f 2 ( x ) exits and L = L 1 + L 2 . 2) Suppose L 1 R and L 2 = . Then, does the limit L = lim x a - f 1 ( x ) + f 2 ( x ) exist? Prove your idea. 3) Suppose L 1 = -∞ and L 2 = . Then, does the limit L = lim x a - f 1 ( x )+ f 2 ( x ) exist? Explain your idea briefly. 2. Find the redious of convergence and determine the exact interval of convergence.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}