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we've been doing some exercices of limits at class and there are many ones that i didn't understand... and since you don't get that chance to ask your teacher after class in Morcco, I came here for help!

here are two of the tens that i didn't undersatnd:

so to solve this limit:

lim (x-1)/(sqrt(x²+1))

x-> +infinity

you have to go from or each x Є ]-infinity,0[ U ]0, +infinity[

g(x)=(x-1)/(sqrt(x²+1))

.........x(1-1/x)

g(x)=-----------------

.........|x| sqrt(1+1/x²)

i just want to understand how you go from that first line to th second line !?

and also on this one:

how to go from

[itex]sqrt(x^2+x+1)-x[/itex]

to:

[itex]x(sqrt(1+1/x+1/x^2)-1)) [/itex] for each x Є ]0,+infinity[

i really appreciate your help, and also if there is a website that gives you the trucks to solve these kind of limits...thanks again

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# Please help in limits

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