Can someone help me with this one?
lim--x⁻ 14x/x²-1

Question

Can someone help me with this one?
lim->-x⁻ 14x/x²-1

anonymous · Answer

ok what u do is multiply the numbers
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anonymous · Answer

$$\lim_{x \rightarrow -1⁻}\frac{ 14x }{ x²-1 }$$

harsimran_hs4 · Answer

you can say that limit does not exit in this case....

anonymous · Answer

why?

harsimran_hs4 · Answer

$$\frac{ 14x }{ (x+1) (x-1) } = \frac{ 14x }{ x-1 } \frac{ 1 }{ x+1 }$$
with the 1st part it`s fine but our concentration is on 1/x+1 part

so when x approaches -1 from left side 1/x+1 tends to -ve infinity and when x approaches -1 from right side 1/x+1 approaches +ve infinity 
\so LHL is not equal to RHL
so limit does not exit or limit is not defined

anonymous · Answer

Ok that helps, thanks. I don't fully understand the relationship between these two new functions ant their composite function though and how I could find out that the limit from the negative side is not defined at -1, (when at -2 it would be -ve infinity)

harsimran_hs4 · Answer

at -2 it won`t be -ve infinity rather i had just written the same function 
mid it it`s not the composite functions 
it was just done because i knew that left part would create no trouble in finding limit but only right one is the one we need to analyze...

anonymous · Answer

Ok thanks for help. I'm gonna close this and move on

harsimran_hs4 · Answer

cool just think over it again some other time
you will get hold of it