Suppose lim f(x) = L and lim g(x) M. Prove that lim [f(x) - g(x)] = L- M. Xa Xa Begin by writing lim [f(x)- g(x)] as a sum. Xa lim [f(x) - g(x)] lim [f(x) + (g(x)] %3D Xa Xa

Q: (b) Assume that lim,6 f(r) = 9 and that lim,6 g(r) = 3. Compute lim f(r)g(r) - f (x)f(x) + g(x)g(x)

A: To Determine: The given expression:

Q: Suppose lim f(x) = L and lim g(x) = M. Prove that lim [f(x)-g(x)] =L-M. Xa X-a Begin by writing lim…

A: Given that limx→af(X)=L and limx→ag(X)=M . We need to prove that limx→a f(X)-limx→ag(X)=L-M. Now…

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Q: Let f(x) = x/² for x0. show that lim f(x)=lim f(x)= too X-50+

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A:

Q: Find the lim f(x) if, for all x > 13, 7x – 3 < fx) < 7x² + 4x

A: Given : 7x-3x &lt; fx &lt; 7x2+4xx2

Q: What is the definition of lim f(x)?

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A: We need to apply the limits to find the expected value

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A:

Q: Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim…

A: