Tuesday, 15 August 2017

calculus - L'Hospital's Rule for a fraction where the numerator clearly grows faster than the denominator

According to L'Hospital's Rule, the limit as x approaches infinity of 8x+56x is simply the derivative of the numerator over the derivative of the denominator is simply 8/6.

I don't understand why it is 8/6. 8x+5 clearly grows faster than 6x, so shouldn't the limit be infinity?

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