edited by
1,126 views
2 votes
2 votes
$\lim_{x\rightarrow0}\frac{x^{2}+1}{x(x-1)}=?$
edited by

1 Answer

0 votes
0 votes

limit 1st rule 1st substitute  x->0   we get  1/0    =  infinity    infact we  get   Left hand limit = +infinity  and Right hand limit = - infinity

infinity ↑    not and indeterminant form

since LHL not equal to RHL  its answer is does not exist  , infinity is not a number  we cannot say answer is infinity 

edited by

Related questions

1 votes
1 votes
2 answers
1
0 votes
0 votes
1 answer
2
Debargha Mitra Roy asked Nov 26, 2023
145 views
1 votes
1 votes
2 answers
3
kidussss asked Jul 8, 2022
871 views
Evaluate the question of the following limits. $\lim_{x\rightarrow 1} \frac{x}{(x-1)^{2}}$
0 votes
0 votes
2 answers
4
kidussss asked Jul 8, 2022
472 views
Evaluate the question of the following limits. $\lim_{x\rightarrow \infty} \frac{2x^{3}+3x-5}{5x^{3}+1}$