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What is lim x->0 1/x + 1? Prove it.?
How do you know that infinity + 1 = infinity?
1 Answer
- 10 years agoFavorite Answer
is infinity.
you can separate the lim x->0 1/x + 1 into lim x->0 1/x + lim x->0 (1)
As lim x->0 1/x = infinity, you can easily understand through the graph of 1/x;
when x-> 0 ,the value of y goes infinity.
and lim x -> 0 (1)=1
so,
infinity + 1 = infinity
so the answer is infinity.
--------------------------------------------
infinity + 1 = infinity
because,infinity is much more larger than 1,
just as :if 1000+ 0.000000000000001,
the answer is 1000.000000000000001,
the 0.000000000000001 in 1000.000000000000001 is so small that we can ignore it.
The same goes to infinity + 1
hopefully the link below will help
