et-1 t-07+2te-2t-7et Given that lim [7427][h(r)]] = = = 3 use the Rules of Limits and 28 - differentiation (for reducing the expression) to evaluate lim{[h(t)][2t — }]}. 0+1

Q: 7ーズ 1. Find lim using a. Table of values f(x) b. Limit rules

A:

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

A:

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: 8x² - 4x + 9. Suppose f(x) = Evaluate: lim f(x) x→-2 =

A: We have to evaluate the limit of f(x) as x tends to -2

Q: f(x + Ax) – f(x) Find lim Дх > 0 Ax f(x) 9x2 5x %3D teр 1 Find f(x + Ax) by substituting x + Ax in…

A:

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

A:

Q: USE YOUR CALCULATOR to find lim 5 sin(x) 2x

A:

Q: -4+x, x)= {=-x if x 2 3 if x 3 Evaluate the following expressions. lim f(x) = x-3 lim f(x) = x-3+…

A: f(x)=-4+x,    if x<3   2-x,    if x⩾3 now I am attaching image so that you can easily understand…

Q: If lim fx) -6 х+1 х— 1 – 6 10 , evaluate lim f(x).

A:

Q: 11) Evaluate lim (1+ 2x)csc(x).

A:

Q: 2x +1 if x3 (А) -5 в) 6 23 D) -13

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

Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

A:

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: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

A:

Q: Prove using the formal definintion of a function that: limxto2 (5x + 5) = 15

A:

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: Given f(x) = 3/(4-x)3 , evaluate limx=4+ f(x)

A:

Q: (3a + 2h)16/5 - (3a)16. Evaluate lim h-0 h

A:

Q: (3х + 3с if x >2 Let f(x) = {x2 - cx if x < 2 If lim f (x) exists, find the value of c. X-2

A: Limit of a function exist , when both sided LHL and RHL exist.

Q: Let f(x) { x2 + 16 if x &lt; -16 and (sqrt(x + 16)) if x &gt;= -16. Find. a) lim f(x) as x…

A:

Q: If -a2 + 6x – 7 < f(x) < 2x – 3 for all r, find lim f(x). Cite any relevant theorems used.

A: Given that,  -x2+6x-7≤fx≤2x-3 To determine limx→2fx. By the algebra of limits, If gx≤hx  then…

Q: 2x-1 if x2

A: