e(k-1)a – 1 lim | Bk eit – 1 x→0

Q: Find the limit

A: To find the limit.

Q: 4. a. Evaluate lim x - x-6 x→3 x2 -9 x+1 lim x→-1 /3 - x –2 b. Evaluate

A:

Q: A) Vx2 +8-3 lim x-1 x+1

A: By using l'Hospital's rule we solve the given problem as follows :

Q: а) If V5 - 2r s f(x)s V5 – x² for -1sxsl Find lim,o f (x) ?

A: Given that                                5-2x2≤f(x)≤5-x2  for  -1≤x≤1 we have to find…

Q: x – 9 - a) lim 19 x² – 4x – 45 |

A:

Q: Find the limit

A:

Q: 1: lim,-0 2x+1

A:

Q: Find lim r(t) t →∞ 3t if r(t) = (2+e¯³)i + 2tan ¹tj + - 4t³ – t 2t - t³ k

A: If rt=2+e-3ti+2 tan-1 tj+4t3-t2t-t3k, then to find limt→∞ rt.

Q: (Extra credit, 10 points) Let x0 = a, x₁ = b, x2 = (x0+x1) /2 and x = (xn-1+xn-2)/2. Show that In…

A: ⏹️ Approach to solving the question: Here are steps to derive the formula for xn as given in the…

Q: Investigate lim graphically and numerically. x→9 /x – 3

A:

Q: Fina the llmit or State that the lmit does not exist li Lim (I+ * 2. Lim (I+2X)

A: Explanation of the answer is as follows

Q: |4x – 12| lim Compute x→3- x – 3 -

A:

Q: Find the limit

A: We find the limit by substitution.

Q: Ix-기 |x – is The answer of lim x→7 X – 7

A: The value of limx→7x-7x-7 is given by two values: limx→7+x-7x-7=x-7x-7=1 and…

Q: 27+x- 5 Compute lim II-2 x+2

A:

Q: 3* – 1 compute lim V1+x -1

A:

Q: x + x² – 6 lim 6x + 5x2 + 2x3 x--0o

A: The given expression is limx→-∞x+x2-66x+5x2+2x3

Q: Gal Evalunte the fallowing: O lim 1 +31-10 1-5

A:

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: For the point of inflection, we solve y"=0

Q: x² - 25 lim x→-5 x+5

A: Given :

Q: Find k so that the limit exists x² + (3 – k)x – 3. lim - X-2 x- 2 (a)5 (b) 4 (c) 3 (d) 2

A: We will solve the following

Q: x 3

A: