- #1
dustinm
- 7
- 0
I have 2 questions in regards to continuity and limits.
Question 1:
f(x)= e[itex]^{-x^{2}}[/itex] if x ≠ 0.
f(x)= c if x=0.
For which value of c is f(x) continuous at x=0?
I was thinking the answer would be 1 but I feel that's incorrect.
Question 2:
Compute lim x→∞f(x).
I'm not familiar with how to solve limits to infinity when the variable is in the exponent.
Any and all help is appreciated! thank you guys.
Question 1:
f(x)= e[itex]^{-x^{2}}[/itex] if x ≠ 0.
f(x)= c if x=0.
For which value of c is f(x) continuous at x=0?
I was thinking the answer would be 1 but I feel that's incorrect.
Question 2:
Compute lim x→∞f(x).
I'm not familiar with how to solve limits to infinity when the variable is in the exponent.
Any and all help is appreciated! thank you guys.