a. Evaluate limx→5 f(x), where f(x) = { 11x+ (2 +77) Ef x< 55-px if x 2 5, "p" is any constant and also find the value of "p" assuming that limx>5 f(x) exists.

Q: (x²+4x-5)¹/2 lim x→1+ (x²-4x+3)

A:

Q: Find limx-&gt;∞,if for all x&gt;5

A: We apply limx-&gt;∞ on all sides.

Q: If х-+5 lim f(x) = 15, find lim ( 2x – x² /f(x)+ 1 х—5

A:

Q: lim xe-x

A: We have to evaluate the limit: limx→∞xe-x Rearranging the question using exponent rule a-m=1am,…

Q: Find the Imit for each function below P(x) Sax-275 (9x-325 0Sメ150 1504X <300 lim P(x)= %3D x 140 lim…

A:

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

A:

Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

A:

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A:

Q: 6) Find lim (1-2x)= 17100

A: Step 1:Given limx→−∞​(1−2x)x1​Consider y=(1−2x)x1​Thenlimx→−∞​yThe expression is y=(1−2x)1/xStep…

Q: sinx-0.5 I| lim- X- 6 Select one: True False ||

A:

Q: 1 b. lim ,5 x-0

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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: x²+x-2 1. lim X-o 4x-1

A:

Q: X 19. lim x→1x² + 4

A: To evaluate the following limit.

Q: lim x X49

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

Q: X lim x→1x² + 4

A:

Q: B/ Find the value of lim,-.. 1. ²/2 O 1 O 2 7x²+x-100 2x²-5x N NIN

A: To evaluate: limx→∞7x2+x-1002x2-5x

Q: Find 2-Vx2-5 lim X-1 x+3

A:

Q: (1 + +)" =- 65. lim

A: To show: limn→∞1+1nn=e

Q: x - 27 lim x 7x + 4

A:

Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

A:

Q: C. In5 x ,2 X limx→+⁰

A:

Q: Find the following: x1/3 + 9x1/5 (2х — 1)1/2 — 3 - i. Lim 6x1/2 – 4x1/4 ii. Lim x→5+ х — 5

A:

Q: 2 lem -9 ズ→ス x-4

A:

Q: lim +0+ -3x4-12x

A:

Q: Find lim h→0 lim h0 f(3+h)-f(3) h f(3+h)-f(3) h - if f(x)=x² +8. (Simplify your answer.)

A: To find the limit limh→0f(3+h)−f(3)h for the given function f(x)=x2+8, let's substitute the function…

Q: Find Vx2 +8-3 lim X-1 x + 1

A: Limits question

Q: 2x a. lim x-+3" X - 3

A: limit