Which of the following functions grows the fastest as x goes to infinity?

a) f(x) √x
b) f(x) √(x+1)
c) f(x) √(10x+1)
d) They all grow at the same rate as x goes to infinity

4 answers

for large x,
√(x+1) ≈ √x
√(10x+1) ≈ √10 √x
so, what do you think?
answer C?
Yes , The square root of 10 is greater than one.
No its not C
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