Posted by **Paul** on Saturday, February 16, 2013 at 9:52am.

Consider the function

f(x)= 2e^x, if x<0

f(x) = -3x+2, if 0< or equal to x < or equal to 2/3

f(x) = 1, if x > or equal to 2/3

a) evaluate the limit X->0- and X->0+

b) Does limit X ->0 exist? Is f continuous at x=0

c) Evaluate the limit X->2/3- and X -> 2/3+

D) Does limit X->2/3 exist? Is f continuous at x=2/3?

## Answer this Question

## Related Questions

- Math - 1) When will the dependent variable in the equation y=√x+4-3 equal...
- calculus - Consider the function f(x)=65x−cos(x)+2 on the interval 0 less ...
- Calculus - Consider the function f(x)=6x-cos(x)+5 on the interval 0 is less than...
- math - Consider the function f(x)= 2e^x, if x<0 f(x) = -3x+2, if 0< or ...
- Math - Objective Function z = 3x - 2y Constraints x > or equal to 1 x < or...
- Math - consider the function f(x) = (x if x<1 and 1/x if x>or equal to 1 ...
- Calculus - Consider the function f defined by f(x)= sin x/x, x cannot equal 0 1...
- Calculus - consider the function f(x) = (x if x<1 (1/x if x>or equal to 1 ...
- Business Math - Using the simplex method, solve the following linear programming...
- Math - The non-permissible values for the expression -9x+8 divided by -9x^2-55x+...