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Q: Find the limit. lim tan x x - (m/2) +

A:

Q: Use l’Hospital’s rule where applicable to find the limit.

A: L'Hospital rule, if we have an intermediate form 00 or ∞∞           all…

Q: Find the limit if it exists. lim V3- Vx+3 111

A:

Q: 5 lim x-6 x + 5

A: Given Limit :           Need to find the value of limit by direct substitution

Q: Find the limits

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Q: Find lim 1+ (if it exists) X→ 00

A: Solving the problem by finding the limit.

Q: Find the limit

A:

Q: Find the limits lim tan x x→(7/2)

A: The limit of a function fx at x=a is given by: limx→a fx=fa Also, the left hand limit of a function…

Q: Find the limit using direct substitution. x + 11 + 11 lim

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Q: Find the limit 3x lim0 tan(5x)

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Q: sec x lim sec(3x)

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Q: Find the limit. x!000 lim x→+0 et

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Q: Find lim x→3- x2 – 9 for o, -inf for -o, and DNE

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Q: Show that lim,→»(1+ e* for any x > 0.

A: To prove:

Q: Pind the Value of a if you Knou that lim (- X-X where afR

A: limx→2 1x-1-ax2-1 = 0

Q: Use the definition to prove that lim,→∞ x² = ∞.

A:

Q: to if iz fx) < x (x)_ +4x+4,for allx, find Lim f(x)

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Q: Find the indicated if it exists: lim x to 8;  2x2+3x+1 divided by x4 - x2

A: To find the limit if exists

Q: Evaluate the limit.

A: Given limx→0tan4x9x

Q: (b) Prove that lim,→20,¤€A ƒ (x) exists and is equal to lim→0 Yk-

A: This problem is related to the sequence of functions. Given:  fkk∈ℕ is a sequence of functions from…

Q: Find the limit as x--> ∞ lim In x2 O 2x 00 8.

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Q: Evaluate the limit sin 2x lim 7x

A: limx→0 sinxx = 1

Q: Find the limit is it exisit.

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Q: Find the limit. lim_(x→∞)xsin(1/2)

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Q: 3. Use L'H rule to find lim (1– 2x)/=

A: From the given problem: limx→01-2x1x Let, y=limx→01-2x1x Now taking log on both sides.…

Q: Which property of f(x) = x' allows us to conclude that lim x = 8? x+2

A: f(x) =x3

Q: Evaluate the limit sin 3x lim 7x

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Q: Find the limits

A: Given that limx→0 1x-1+1x+1x. Compute the limit as follows.

Q: Use the e-d definition to show that lim /a = 2. a-b (Hint: Vā – V6 =

A:

Q: If 2x 0, use the Squeeze Theorem to find lim g(x).

A: Given that : as per squeeze theorem

Q: Find the limit using your understanding of the end behavi of the function. lim Va =

A: Given, limx→∞x

Q: Show that

A: Here we have to show that;  limx→-∞1x

Q: Find the limit. lim tan7x In2x = %3D

A: Solution..

Q: swer of the following lim 2x²+6y² lim (x,y)→(0,0) x²+y²

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Q: Evaluate the limit sin 3x lim 9x

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Q: Find the limits lim tan-x X-

A: Solution: consider the given limit function; limx→-∞tan-1x Let  tan-1x = y⇒tan y = x when x → -∞…

Q: (b) 21-1 lim x³ + x² + x + 1 = 4.

A: Given : b limx→1 x3+x2+x+1 To Prove : limx→1 x3+x2+x+1=4

Q: Find the Oimits :- sin 3y Lim Sin Jz8 Lim My JzO ot

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 5x -2 x² +1 O lim

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Q: ve that lim 1 by definition.

A:

Q: Find the one-sided limit (if it exists).

A: To find the limit limx→0-1+1x. We know that 10-=-∞. Evaluating the given limit,…

Q: Use continuity to evaluate the limit. 16 + Vx lim 16 + x

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Q: Find the indicated limit. 4/x x/ lim

A:

Q: B) By using (A), Find lim /-

A: limn→∞1n

Q: Which property of f(x) = x' allows us to conclude that lim x- 8?

A: f(x)=x3 is a continuous function. So, it is continuous at x=2 also.

Q: is lim (sec x)ot æ 2

A: Apply exponent rule

Q: If + 1for all positive x-values, then what is lim f(x)? X- 4

A: We have to find limit

Q: Use the –δ definition to prove that lim x→1 (3x + 5)/2 = 4.

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Q: Evaluate lim→» V3 - cos x

A:

Q: Evaluate: lim,2 (x – 2) (cot rx). - O 1

A: We have to find the limit of a given function as x approaches 2. Rewrite given function as