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player1_1_1
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Homework Statement
hello, what can I do to solve this without using d'hospital method?
[tex]\lim_{x\to0}\frac{\tan x-x}{x^3}[/tex]
player1_1_1 said:Homework Statement
hello, what can I do to solve this without using d'hospital method?
[tex]\lim_{x\to0}\frac{\tan x-x}{x^3}[/tex]
"Limes without d'hospital" is a mathematical concept that refers to a method for evaluating limits of functions without using L'Hospital's rule.
Knowing about "Limes without d'hospital" can be useful for solving limits of functions that are not easily solvable using L'Hospital's rule, or for situations where L'Hospital's rule cannot be applied.
The main difference between "Limes without d'hospital" and L'Hospital's rule is that the former relies on manipulating the limit expression algebraically, while the latter uses derivatives to solve the limit.
Some common strategies for solving limits using "Limes without d'hospital" include factoring, simplifying, and using trigonometric identities to transform the expression into a form that is easier to evaluate.
Yes, "Limes without d'hospital" may not work for all types of functions and may not always provide an exact solution. It is important to check the validity of the method and consider other approaches if needed.