Hm... your image is a bit unclear to me. Is the first problem meant to be:
\(\displaystyle \displaystyle \frac{\lim _{x\to \infty }\left(\sqrt{9x^2+x-2}-\sqrt{25x^2-x+3}+2x\right)}{\lim _{x\to \infty }\left(\sqrt{11x^2-E\left(2x^2+x\right)}+3x\right)}\)
Or is the slash sign in the image just meant to indicate that these are two separate problems? Additionally, what is E in this context? Is it the same as e, or Euler's number? That is, is it meant to be a variable, or have the constant value 2.71828182845...?
Hm... your image is a bit unclear to me. Is the first problem meant to be:
\(\displaystyle \displaystyle \frac{\lim _{x\to \infty }\left(\sqrt{9x^2+x-2}-\sqrt{25x^2-x+3}+2x\right)}{\lim _{x\to \infty }\left(\sqrt{11x^2-E\left(2x^2+x\right)}+3x\right)}\)
Or is the slash sign in the image just meant to indicate that these are two separate problems? Additionally, what is E in this context? Is it the same as e, or Euler's number? That is, is it meant to be a variable, or have the constant value 2.71828182845...?
I am sorry, i fixed the problems. The "/" sign is not for division, and the E is for Floor function : i changed the symbol.