andrey21
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Confirm that L'Hospital's rule does not for the following:
SQRT(8x+1) / SQRT (x+1) As x tends to infinity
Attempt at a solution
Given that:
f(x) = SQRT (8x+1)
f'(x) = 1/2 SQRT(8x+1)
g(x) = SQRT (x+1)
g'(x) = 1/2 SQRT(x+1)
Now I am unsure where to go from here to prove l'hospitals rule doesn't work.
SQRT(8x+1) / SQRT (x+1) As x tends to infinity
Attempt at a solution
Given that:
f(x) = SQRT (8x+1)
f'(x) = 1/2 SQRT(8x+1)
g(x) = SQRT (x+1)
g'(x) = 1/2 SQRT(x+1)
Now I am unsure where to go from here to prove l'hospitals rule doesn't work.