Suppose you are given that lim(x.4)¬(a,b) [f (x, y) + g(x, y)] = 3 and that lim(=.»)¬(a,b)[f(x, y) – g(x, y)] lim(r,9)→(a,b)[f (x, y) · g(x, y)]. (Type “lim f" for lim(r,u)→(a,b) f(x, y) and "lim g" for lim(r,y)→(a,b) g(x, y) and "lim (f + g)" for lim(r,y)→(a,b)[f (x, y) + g(x, y)] etc. in laying out your brief 2. Use this information to determine | argument.)

Q: 1. Use the definition to prove that lim_ (r + 8)² = 25

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Q: Give an example of two differentiable functions f(x) and g(x) such that: lim, 00 f(x) = lim, 0 9(x)…

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Q: lim (In (x))* X-e

A: Consider the given limit, L=limx→e+lnx1x-e Apply the exponent rule, x=elnx.…

Q: lim f(x) f(c) a) lim f(x) 1 DNE x--3 b) lim f(x) DNE 1 x-1 c) lim f(x) -1 -1 d) lim f(x) e) lim f(x)…

A: Graph of the function is given.

Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

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Q: 3) If the lim f(x) = 2 and lim f(x) = -1 %3D x-3- x-3+ Then what is the lim f (x) = x→3 %3D a) Why?

A: To find the limit of the f(x) at x=3

Q: lim_ f(x) and f(1). x-1- 4) Say f(x) = 15(x-3)2(x-4)² 6x(x-2)(x+5)² Find lim f(x). X18 5) With f as…

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Q: Use the Squeeze Theorem to find lim_ f (x), given that 5 - x - 7| ≤ f (x) ≤ 5 + |x − 7|. x→7

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Q: lim (x,y)-(-3,4) (x³ +3x²y² - 5y³ +1)

A: Here we have given an expression with limit and we have to solve it. We have lim (x,y)→(-3,4) (x3 +…

Q: 5. Calculate lim f(x), where x+1+ f(x) = = its 12.05 (c)-2 (d) 2 (e) does not exist 5A 5B if x 1 x-1…

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Q: Select which of the four statements is/are TRUE? One or more options can be correct. fla + h)-f(a) A…

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Q: Can you find the value of c so that lim B(t) t --> 4 does exist. I hope this makes sense, I…

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Q: In (1+x) lim

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Q: if f(x) True = False 1 {} if x # 0 if x = 0 2 then_lim ƒ(x) = 0 x 0

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