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Why we calculate the nature of denominator before find out asymptotes? like to fimd out aymptote of (2x/(x+1)) first we dicuss whereb X tends to +or-(infin) and as X tends to -1

Why we calculate the nature of denominator before find out asymptotes? like to fimd out aymptote of (2x/(x+1)) first we dicuss whereb X tends to +or-(infin) and as X tends to -1

Grade:12th pass

2 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
7 years ago
X=-1 is the asymptote of this function.
We find out that X tends to -1 from right hand side or left to know how to plot the function.
If x tends to -1 from right, it would mean the function is +infinity.
If x tends to -1 from left, it would mean the function tends to -infinity.
Thanks
Bharat Bajaj
IIT Delhi
askiitians faculty
chandramouli
23 Points
7 years ago
x=-1 is the assymptote of the given eq we first check denominator because asymptotes are tangents at infinity so when the denominator tends to zero at that pt tangents are called asymptotes

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