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pasta
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find the lim (x+1/x) as x tends to 0.and sketch a graph to support for answer.
 2 years ago
 2 years ago
pasta Group Title
find the lim (x+1/x) as x tends to 0.and sketch a graph to support for answer.
 2 years ago
 2 years ago

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2le Group TitleBest ResponseYou've already chosen the best response.1
\[lim_{x \rightarrow 0}(x+\frac{1}{x})=lim_{x \rightarrow 0}(\frac{x^2+1}{x})\] From here you can see that the function gets larger and larger as x approaches 0 from the left and the right.dw:1349841452926:dw also, if you look at \[lim_{x \rightarrow \infty}(\frac{x^2+1}{x})=2\] \[lim_{x \rightarrow \infty}(\frac{x^2+1}{x})=2\]from l'Hopital's rule
 2 years ago

pasta Group TitleBest ResponseYou've already chosen the best response.0
as x tends to infinity the function is undefined as far as i know
 2 years ago

adi171 Group TitleBest ResponseYou've already chosen the best response.0
use l'hopital rule
 2 years ago

adi171 Group TitleBest ResponseYou've already chosen the best response.0
dw:1350219305254:dw
 2 years ago

adi171 Group TitleBest ResponseYou've already chosen the best response.0
then the x^2 cancels out.....the eq left is 1/x^2...... now when x approaches 0 the eq. approaches infinity,...!!1 so infinity is the ans
 2 years ago

adi171 Group TitleBest ResponseYou've already chosen the best response.0
graph is this and its correct
 2 years ago

adi171 Group TitleBest ResponseYou've already chosen the best response.0
dw:1350219633729:dw
 2 years ago

adi171 Group TitleBest ResponseYou've already chosen the best response.0
range of the grph is (infinity , 2] union [2,infinity)
 2 years ago

pasta Group TitleBest ResponseYou've already chosen the best response.0
@adi171 there is no way i can use l 'HOpitals rule becoz the function gives 1/0 not 0/0 OR infnty/infnty.
 2 years ago

pasta Group TitleBest ResponseYou've already chosen the best response.0
when i use the rule my derivative is 2x which gives the answer 0.HOW ARE YOU differentiating 2x/1 which is actualy the derivative .and it does not work for the rule on this case
 2 years ago

pasta Group TitleBest ResponseYou've already chosen the best response.0
you are finding the minimum and maximum points of this graph. as x tends to inifinity the function tends to infinity .and AS X tends to 0 the function is undefined(see the attached graph)
 2 years ago
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