- #1
babita
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Homework Statement
the ques says:
lim x tending to 0 [f(x)g(x)] exists. Then both lim x tending to 0 f(x) AND lim x tending to 0 also exist. True or False
Homework Equations
The Attempt at a Solution
lim f(x)g(x) =lim f(x) * lim g(x)
so if LHS exists then limf(x) and lim g(x) must exist
so it should be true
but the answer says that the statement is false
pleasezzzzzzzzzzzzzzzzzzzzzzzzzzz help