The sum of reciprocals of two numbers is 5/6 and the difference is 1/6. Find the numbers.
2 answers:
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9) We need to find the limit as x approaches 2 of f(x) - g(x).
When we are approaching a certain value, we are essentially finding values that are infinitesimally approaching x = 2, to the point where we find the exact value when x hits 2.
Thus, by substituting x = 2 into f(x) - g(x), we are finding the value at which the functions' difference hits x = 2.
![\lim_{x \to 2} [f(x) - g(x)] = \lim_{x \to 2}[\frac{3x + 2}{4} - x^{2} + 3]](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%202%7D%20%5Bf%28x%29%20-%20g%28x%29%5D%20%3D%20%5Clim_%7Bx%20%5Cto%202%7D%5B%5Cfrac%7B3x%20%2B%202%7D%7B4%7D%20-%20x%5E%7B2%7D%20%2B%203%5D)
Every other question repeats this process, so by applying the above process, your answers should come out smoothly.
Let me know if you need any more assistance, and I can guide you through them.
When we are approaching a certain value, we are essentially finding values that are infinitesimally approaching x = 2, to the point where we find the exact value when x hits 2.
Thus, by substituting x = 2 into f(x) - g(x), we are finding the value at which the functions' difference hits x = 2.
Every other question repeats this process, so by applying the above process, your answers should come out smoothly.
Let me know if you need any more assistance, and I can guide you through them.