what is the rule of L hospital?
give a example
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Answer:
L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.
Example: limx→2x2+x−6x2−4
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Use of the rule of L hospital:
L'Hospital's Rule. So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.
Example
Find limx→0(sinx)/x. Solution: both numerator and denominator have limit 0, so we are entitled to apply L'Hospital's rule: limx→0sinxx=limx→0cosx1. In the new expression, neither numerator nor denominator is 0 at x=0, and we can just plug in to see that the limit is 1.
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