how do i get the limit of this problem?
#Limits Infinities
rigid drift
torn atlasBOT
how do i get the limit of this problem?
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primal rover
$$\lim_{x \to \infty}\frac{5x+2}{2x+x^{3/2}\sqrt{1+\frac{1}{x^2}}}$$
$$=\lim_{x \to \infty}\frac{x(5+2/x)}{x^{3/2}(\frac{2}{\sqrt x}+\sqrt{1+\frac{1}{x^2}})}$$
shy groveBOT
scilent
primal rover
you can sepatate the limits here
$$=\lim_{x\to\infty}\frac{x}{x^{3/2}}\lim_{x\to\infty}\frac{5+2/x}{\frac{2}{\sqrt x}+\sqrt{1+\frac{1}{x^2}}}$$
$$=0 \times 5=0$$
shy groveBOT
scilent
primal rover
@rigid drift
fierce nightBOT
@rigid drift has given 1 rep to @primal rover
primal rover
may i ask why the 3/2
because then I can separate the 2 limits
primal rover
this is my solution am i wrong
no its correct
rigid drift
no its correct
is it enough?
primal rover
**scilent**
but I think this is better