x2 - 4 Let f1x2 X - 2 a. Calculate f1x2 for each value of x in the following table. x² - 4 b. Make a conjecture about the value of lim xS2 x - 2 | 1.9 1.99 1.999 1.9999 S(x) = ** - 4 2.1 2.01 2.001 2.0001 4 f(x) II

Q: V-x-2-V3 Evaluate lim -x- 5 Enter an exact answer.

A:

Q: х2 — 2х-15 x2 — х— 20

A: We have to evaluate the following limit: limit as x tends to 5, [(x2 - 2x - 15)/(x2 - x - 20)]

Q: x-4 Evaluate: lim x-4 x2-x-12

A: use L'Hospital Rule or solve it simply.

Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

Q: lim(1 + )4* 2x

A:

Q: 9x + 1 lim x - 1

A:

Q: 27 44. Find lim x3 x - 3

A: If given a limit limx→af(x)g(x) results in an indeterminate 00 form. Then the L'hospital's rule can…

Q: 6. Find the lim (x²-3)³ (x³ + 2)²x

A:

Q: x2 – 10x + 16 Calculate lim x→2 x2 – x - 2

A: Answer is  -2

Q: (2x- 1)1/2 – 3 Lim X-5

A:

Q: 6-x-1 X-5 √9-x-2 Evaluate lim

A:

Q: [a] find limg00 a+[b] *

A:

Q: x² – 4x + 3 Find Lim x-0 5

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Q: Evaluate lim f1x2 and lim f1x2 using the figure. xS-00 yA y 5 f(x) 210 10 23+

A: Consider the given graph as

Q: If lim fx) - 7 x-1 x - 1 5, evaluate lim f(x). X-1

A:

Q: 1-x? 2. lim 3x +1

A: We have to find the limit of given function lim x→∞ (1-x^2)/(3x+1)

Q: 4) lim Vx + 2 DNE x--2- 5) lim f(x) DNE, given that f(x) = {*+1 if x<2 (x-4)2+3 if x22 x-2

A: Topic:- limit Calculus

Q: mit. 3x(x-4) lim x- 4| X4"

A:

Q: b. Evaluate lim X0 ex

A: Given limit is : limx→0xex  To find the value of the limit.

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

A:

Q: Evaluate lim (Hint: x – 1 = 1Vx2³ - 1³.) xSi x - 1

A: Here given limit L=limx→1x3-1x-1

Q: 2. Evaluate lim (5x - 2 x+3.

A: To evaluate the limit: limx→∞5x-2x+3 Solution: We know that, limx→afx-gx=limx→afx-limx→agx Using the…