sorry, can't understand your post..
1. )Let f(x)=3 ·x^9 -10 ·x^3 +2 and g(x)=c·x^n -7 ·x^3 +18 with c cannot = 0. Then
lim (-->infinite) f(x)/g(x)= infinite
c (>, < or =) to ________ and n (>, < or =) to ________ .
2.)The function
f(x)= -4·x^2+4 if x >(and equal to) -2
d-x if x -2
is continuous at x=-2 if and only if d = _______________
3.) The set of all points of discontinuity of the function
g(x)= x+4 / x^2-16
equals
a) {4}
b) {4,-4 }
c) {-4 }
sorry..hope you understand the notations...
Hello,
1. )Let f(x)=3 ·x^9 -10 ·x^3 +2 and g(x)=c·x^n -7 ·x^3 +18 with c cannot = 0. Then
lim (-->infinite) f(x)/g(x)= infinite
c (>, < or =) to ________ and n (>, < or =) to ________ .
is the leading coefficient.
is the degree of the polynomial.
The limit of the quotient of two polynomials is :
- infinity if the degree of the polynomial above is superior to the degree of the polynomial below. The sign of it depends on the leading coefficient.
- the quotient of the leading coefficients if the leading coefficients above and below are the same.
- 0 if the degree of the polynomial below is superior to the degree of the polynomial above.
For this to be continuous, you must have :2.)The function
f(x)= -4·x^2+4 if x >(and equal to) -2
d-x if x -2
is continuous at x=-2 if and only if d = _______________
Just replace and find the value of d
Change the denominator into .3.) The set of all points of discontinuity of the function
g(x)= x+4 / x^2-16
equals
a) {4}
b) {4,-4 }
c) {-4 }
Simplify, and then conclude