Let f ( x , y ) = x y e x 2 + y 2 . Use a graphing calculator or spreadsheet to find each of the following and give a geometric interpretation of the results. ( Hint: First factor e 2 from the limit and then evaluate the quotient at smaller and smaller values of h .) a. lim h → 0 f ( 1 + h , 1 ) − f ( 1 , 1 ) h b. lim h → 0 f ( 1 , 1 + h ) − f ( 1 , 1 ) h
Let f ( x , y ) = x y e x 2 + y 2 . Use a graphing calculator or spreadsheet to find each of the following and give a geometric interpretation of the results. ( Hint: First factor e 2 from the limit and then evaluate the quotient at smaller and smaller values of h .) a. lim h → 0 f ( 1 + h , 1 ) − f ( 1 , 1 ) h b. lim h → 0 f ( 1 , 1 + h ) − f ( 1 , 1 ) h
Solution Summary: The author explains how to find the value undersethto 0mathrmlimf(1+h,1).
Let
f
(
x
,
y
)
=
x
y
e
x
2
+
y
2
. Use a graphing calculator or spreadsheet to find each of the following and give a geometric interpretation of the results. (Hint: First factor
e
2
from the limit and then evaluate the quotient at smaller and smaller values of h.)
Use the given graph to:
+
+
+
-4, -3 -2 -1
4
3
4+
3:
f(x)
1
2
3
4
X
Find lim f(x).
X→
Given the graph of f(x) at the left, determine the following:
a. f(6)=
b. lim f(x) =
x+2
C.
lim f(x) =
x-6
d. lim f(x) =
x-2-
6-
y = f(x)
4-
2-
ΟΙ
2
-~
x
2
6
8
Use the graph of f in the figure to find the following values, if they exist.
a. f(2)
b. lim f(x)
X→2
c. lim f(x)
X→4
d. lim f(x)
X→5
3-
0-
0
13
y = f(x)
X
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