Find the limit of the following functions: -1+√√x-4 1) lim X-5 x-5 2) lim f(x) where f(x) = x-2 x² + 1 x ≤ 2} < (3x-1) x>2) 2

Q: At x = 3 + Ax, the value of the function is f(3 + Ax) = 17 - + Ax Hence, (3 + A3²) -( 17 m = lim Ax…

A: Solution: The objective is to fill the required blanks

Q: If lim I+- 00 f(x) f(x) also equals -2. 2 with f(x) and g(x) both polynomials then lim g(x) I- 00…

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Q: Find the one-sided limits of f(x). - 7x + 3 -2r- 4 if x> -2 if x < -2 f(x) = Step 1 of 2: Find lim…

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Q: Find lim f(x) if I-00 4x - 1 I 5.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 2x+12 |x+6| If f(x)=- , determine whether lim f(x) exists. 44-6

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Q: If 3x < f(x) < x³ + 2 for 0 < x < 2, find lim f(x). x-1

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Q: d. lim x_1 x-1

A: Since there are multiple questions so according to guidelines we can solve only first one.

Q: Find the limit

A: We can solve this limit using direct substitution. i.e. putting the value of x =1 in the given…

Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

A: Here I am attaching image so that you understand each and every step.

Q: Stlon If f(x) = 6x³ 7x – 3, what is lim f(x)? – -

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Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: Find the limits of the functions lim メ>- (6lim x 2. xペー 2x+4

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Q: 2.x2 + x – 2 7. Compute lim Justify your answer A number is not 7x2 – 3x +1 enough.

A: The objective  is computing the above limit.

Q: If f(x) = 5x – 4, then f(x) – f(-3) = 5. x +3 lim I-3 Select one: O True O False

A: Answer is true.  Using L hopital rule.

Q: If 2x – 2 < f(x) < x² – 2x + 2 for x 2 0, find lim f(x). X-2

A: The objective is to find the limit.

Q: lim x X49

A: As we know that: limx→afx=fa Given: limx→ 49x

Q: f(7+h) – f(7) lim h>0 h here f(x) = 7r +4. If the limit does not exist enter DNE.

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Q: x2-x-6 lim x-2 x2-4 Vx+2-2 lim x-2 x-2 Vk+3-V3 lim k-0 k

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Q: Find the derivative of the function: O f(x) 0 17 16 0-17 4 17 4 O-17 16 2x - 7 3x - 2 at x = 2

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Q: Evaluate  lim

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