# Calculus

posted by .

consider k(t)=(e^t)/(e^t-7) on[-7,7]

Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the t -value where the function is not continuous.

The function is not continous and it is not continous on 7 (which is the t=value). Am I right?

• Calculus -

no
when t=7, your denomintor is e^0 which is 1, the numberator is e^7, so you would have a value of

e^7/1 or e^7

• Calculus -

Is your denominator ((e^t)-7) or (e^(t-7))? The difference is important: if it's the first of these, the function would be discontinuous at t=ln(7). If it's the second, then it's not discontinuous over the range given.

## Similar Questions

1. ### Calculus

consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on the given interval?
2. ### Calculus

COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on the given interval?
3. ### Calculus

COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on the given interval?
4. ### Calculus

consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on the given interval?
5. ### Calculus

consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on the given interval?
6. ### Calculus

COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on the given interval?
7. ### Calculus (Continuity)

If the following function is continuous, what is the value of a + b?
8. ### Calculus (Continuity)

If the following function is continuous, what is the value of a + b?
9. ### Calculus

Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it is …
10. ### Calculus

Consider the function f(x) = {0, x = 0 and 1 - x, 0 <= x <= 1}. Which of the following statements is false?

More Similar Questions