Answer the following True or False: If lim f(x) 4 then f(x) is continuous at r = 1. エ>1 O True O False

Q: Let ce (a, b). If ƒ (x) is a function that is continuous at c, then lim,e- [f (x)] = lim,»c+ [f…

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Q: Answer the following True or False: If lim f(x) exists, then f(x) is a differentiable function at x…

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Q: Use the given graph of the function f to find the following limits: 1. lim f(x) = 5 x 17 2. lim…

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Q: If Зx <f(x) < х +2 for 0 <x< 2, find lim f(x). х—1

A: Result used:

Q: ist . Find lim f(x) x-2+ O A. 1 OB. -2 V OC. 4 . S to .. ut .

A: Given graph:-

Q: If 2x - 1 0, find lim f(x). X→2

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Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: If lim f(x) = 4, what can you say about ƒ(1)? x-1

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Q: 2. Assume all given functions are continuous. If lim (f(x) - g(x)) = 10 and ƒ(5) = -8 x → 5 Find g…

A: The objective of this question is to find the value of g(5) given that the limit as x approaches 5…

Q: = 1, then lim g(x)= g(1).

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Q: 2. Assume all given functions are continuous. If lim (f(x) - g(x)) = 10 and ƒ(5) = -8 x → 5 Find g…

A: The objective of this question is to find the value of g(5) given that the limit as x approaches 5…

Q: f (x+h)– f (x) Evaluate lim for A(x) = dw nislqx %3D | h0 h

A: In this question, we had to evaluate the limit.

Q: lim z-1 lim 2-0 2x+1+x-2 x-1 log3(x² + 3x + 1) x

A: By using the definition of derivative to evaluate the following limits.

Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

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Q: lim 2x 3e +5e 2x e -e -X -X = 5. =

A: limit forms are:-    0/0 , ∞/∞