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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: limits conceptual doubt1
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neeraj_agarwal_1990 (887)

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When we calculate lim(x->0) 1/x ...we write the answer that LHL is -inf and RHL is +inf...we can say undefined because infinity is not defined!

But what is f(0)? .... it is said to be not defined and NOT INFINITY!!!!

Note that lim(x->a) f(x) means that what value does f(x) APPROACH as x APPROACHES a...
x is never equal to a and f(x) is never equal to the answer we get...

This 1/0 concept used to be wrong in previous NCERT books too...but it has been corrected...
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sankydreams (998)

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If infinity is a real no, the tell me why (infinity) - (infinity) is not zero
Why zero * infinity is not zero
Why 1 raised to infinity is not one?
Answer these ques and i will agree to the notion that infinity is real...

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neeraj_agarwal_1990 (887)

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WHO SAID INFINITY IS REAL!!!

infinity is just....nothing...
any thing which involves infinity is NOT DEFINED

0*inf=not defined but 0*(tending to infinity)=0

1^inf=not defined but 1^(tending to inf)=1

(tending to 0)*(tending to inf) = indeterminate

(tending to 1)^(tending to inf) = indeterminate

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spideyunlimited (3921)

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neeral is correct and also infinity - infinity is not zero because we dont know the exact value of infinity... its just a concept of mathematics... infinty is a whole big branch of maths in itself its not just any simple number..

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spideyunlimited (3921)

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see it this way
inf + 2 is also equal t o infinity

so infinity - infinity can be written as infinity - ( infinity + 2)

so it will be - 2 ... it can be any number this way.. got it ? :)

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