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tcc88
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Can someone help me find the limit of (5h/h(sqrt(25+5h)+5) as h approaches 0? I have tried everything and I can't seem to get an answer [Which is 1/2] other than 0...
tcc88 said:Can someone help me find the limit of (5h/h(sqrt(25+5h)+5) as h approaches 0? I have tried everything and I can't seem to get an answer [Which is 1/2] other than 0...
footballguy51 said:What kind of work have you done thus far? Show me some of your steps and we can help you understand where your error lies.
$$\lim_{h\to 0} \frac{5h}{h\sqrt{25+5h}+5}$$
Is this the problem you are referring to?
A limit problem is a mathematical question that involves finding the value that a function approaches as the input variable approaches a specific value. It is used to understand the behavior of a function near a particular point.
To solve a limit problem, you can use various techniques such as direct substitution, factoring, and rationalization. You can also use L'Hopital's rule, which states that the limit of a quotient of two functions is equal to the limit of their derivatives.
Limits are essential in mathematics because they help us understand the behavior of functions and their graphs. They are also used in calculus to calculate derivatives and integrals, which are fundamental concepts in many scientific fields.
One example of a limit problem is finding the limit of the function f(x) = (x^2 - 4)/(x - 2) as x approaches 2. This can be solved by factoring the numerator and simplifying the expression to get f(x) = x + 2. Therefore, the limit as x approaches 2 is equal to 4.
Some common mistakes when solving limit problems include forgetting to check for removable discontinuities, using incorrect algebraic manipulations, and not considering the left and right limits separately. It is essential to be careful and thorough when solving limit problems to avoid these mistakes.