Have you considered rules of Logarithms? Show us where that gets you.Help for:
. . . . .\(\displaystyle \displaystyle \lim_{x \rightarrow \infty}\, \ln\left(3^x\, -\, x\right)\, \big[\ln\left(x^4\, +\, 1\right)\, -\, 2\, \ln\left(x^2\, -\, x\right)\big]\)
What have you covered recently in class? (That is, what tools are you probably expected to use for this exercise?) I mean, yes, we can find the limit by other means, but you can't likely expect your instructor to "trust you for it"; ya gotta show yer work!Help for:
. . . . .\(\displaystyle \displaystyle \lim_{x \rightarrow \infty}\, \ln\left(3^x\, -\, x\right)\, \big[\ln\left(x^4\, +\, 1\right)\, -\, 2\, \ln\left(x^2\, -\, x\right)\big]\)