Question

@mathslover

Find the limit of the function algebraically.

lim x->0 \(\dfrac{=6+x}{x^4}\)

Answer 1

lagging super bad, there shouldn't be an =

Answer 2

:) Yeah, same here. It's lagging for me too.

Well, I guess, it's not defined or infinity.

Plugging in x = 0 gives undefined form.

Answer 3

But, write infinity as 1/0 = \(\infty\)

Answer 4

Have a look at the graph, For x tending to zero, the graph tends to infinity.

http://www.wolframalpha.com/input/?i=plot+(6+%2B+x)%2Fx%5E4