lim [f(x)]" = [ lim f(x)]" where n is a positive integer [x→a

Q: Q:Discuss the continuity of the function f(x) =lim+ sinTt x)" - 1 n- (1+ sinTt x)" +1 at the point x…

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Q: |x+1| if x + -1 13. Consider the function f(x) = {x² - 1 Evaluate lim f(x). if x = -1 A) - C) DNE B)…

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Q: x=-1 x=1 x%32 -2 EVALUATE lim f (x) x-1-

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Q: Let f(z) 2 = = (-)². Show that lim f(z) does not exist. z➡0

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Q: Let f(x) = 2/(2 – x) and g(x) = 8/(4 – x²) Find lim [f(x) –- g(x)] 7. a.

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Q: lim In(r) - 0t

A: Consider the given limit

Q: Show that - lim→∞ Xn = limn→∞(-Xn).

A: The objective of this question is to prove that the limit of a sequence multiplied by a negative…

Q: If f and g are continuous functions with f(3) = 5 and lim,- [2f(x) – g(x)] = 4, find g(3).

A: Use the fact that limx→cfx+gx=limx→cfx+limx→cgx. Also, limx→ccfx=climx→cfx Now,…

Q: If lim f(x) = 15 and lim g(x) = 25 then x5 x5 lim 3f(x)g(x) –- 6] = x5

A: Given that limx→5 fx =15  and limx→5 gx=25 find limx→5 3fxgx-6=?

Q: Let f and g be real functions. Show directly from the definitions that if f is everywhere continuous…

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Q: Consider the piece wise function – x² + 16 x 4 VI

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

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Q: (x² + 7x – 5, x 3' ih(x) on the interval [2,4].

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Evaluate lim (1+x)/x x→0

A: Please see the answer in step 2

Q: Let f and g be real-valued functions defined on (b, ∞). Suppose that limx->∞f(x)=L and…

A: Real valued function

Q: If lim f(x) = 17 and lim g(a) エー→6 = 29 then lim [3f (x)g(x) – 8] = %3D %3D エ→6 エ→6 O 34 283 1487 O…

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Q: Assume that rs f(x) < 3r. Compute lim f (x)

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Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

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Q: Evaluate Lim マ-1 X-1 区 -1

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Q: 12. Let L = lim a>0. If L is finite, the (A) a=1 (B) a=2 (C)L- (D) L-

A: We are asked to find a value and L values.

Q: If f(x) = 2[g (x)]³+7, then what is f'(x)? (A) f'(x)=6g (x) g'(x) (B) f'(x)=6g'(x)…

A: Use the chain rule of differentiation and then solve .   As per the bartleby guidelines I am allowed…