тx — ,x<3 f (x)={n+Jx=3 | 3+2(x-7)* ,x>7 ,3

Q: Find lim(x→−2)(x^2 − 4)/(x^2 − x − 6)

A: We first factor the numerator and the denominator

Q: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Prove that limxS2 ƒ(x) = 4 if

A: Given that : The function is f(x) =x2,    x≠21  ,    x = 2 .

Q: lim(1 + 3x)²/x x→0

A: Concept if limx→0f(x) = 1    and limx→∞g(x) = ∞ then the limx→0f(x)g(x)  = elimx→0[f(x) -1][g(x)]…

Q: 10 Find lim x12s 3. X->- X -25 2 lim Jx +3 - 2 メ→」 O lim Sitx - -x 3. 1-X 2 X

A:

Q: to if iz fx) < x (x)_ +4x+4,for allx, find Lim f(x)

A:

Q: Find the lim inf (xn) and lim sup (xn) of Xn=3-(-1)"

A:

Q: x+2 lim sin - x+6x+8 3 2.

A:

Q: Use L'Hôpital's rule 3. x3 x³ - 1 lim x1 x³ + 3x - 4

A: limx→1x3-1x3+3x-4

Q: Зх + 1 1 lim x→0 sin x 5 2 3 1 2

A:

Q: Ex x-2 XE3, X-2 12) Consider メレ3 2) lim. (f(x) b) lim. (f(x)

A: Topic:- limit

Q: f(x+h)-f(x) vi) lim h→0 where f(x) h

A: That's easy. Thumb up. Have a good day!!!

Q: f(x + Ax) - f(x) f'(x) = lim %3D Ax Ax-0 Differentiate: f(x) = x² + 4x - 3 CHOICES: (Just type ONLY…

A: Using given first principle of derivatives

Q: 1-x 6. lim X-3 X+3

A:

Q: find the lim as x approaches infinity where

A:

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

A:

Q: lim

A:

Q: If f(x) = 5x² − 5x + 31, evaluate lim_f(9 + h) − f(9) h→0 h If an answer does not exist, enter DNE.

A: given

Q: 5x – 1, {2x² – 3, x 3 -

A: Given: The function, fx=5x-1,       x&lt;32x2-3,      x≥3.

Q: Suppose f is a function that satisfies the equation f(x + y) = f(x) + f(y) + x2y + xy2 for all real…

A: