- #1
MHD93
- 93
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Note: all the following limits are when x approaches some certain number
The question is: if lim(f(x)g(x)) doesn't exist, and lim(f(x)) = 1, and lim(g(x)) doesn't exist
then are we allowed to say that lim(f(x)g(x)) = lim(f(x)) * lim (g(x)) = 1 * lim(g(x)) = doesn't exist
or isn't that allowed in general
Thanks alot
The question is: if lim(f(x)g(x)) doesn't exist, and lim(f(x)) = 1, and lim(g(x)) doesn't exist
then are we allowed to say that lim(f(x)g(x)) = lim(f(x)) * lim (g(x)) = 1 * lim(g(x)) = doesn't exist
or isn't that allowed in general
Thanks alot