9) Find the limit, if it exists, or show that the limit does not exist: lim (x,y)→(0,0) xª + 3y4

Q: Find the one-sided limit (if it exists).

A: Given: The one - sided limit is limx→-1- x+1x4 -1 .

Q: 7x+8 3. lim (– In x0 X 4x +8

A: Given limit: limx→ 01xln7x+84x+8

Q: Find the limit (if it exist).

A: Given,

Q: Find the one-sided limit (if it exists).

A:

Q: 6.30 You are designing a spherical tank (Fig. P6.30) to hold water for a small village in a…

A: What is Newton-Raphson Method: Newton-Raphson method is a numerical tool that is used in solving…

Q: Find the limit, if it exists.

A: Given: limx→∞4x2+5x2+3

Q: Evaluate the limit, if it exists:

A: LCM of (x+h)^2 and x^2 is x^2*(x+h)^2.Simplify the numerator using LCD.

Q: b. lim (e" +3x)

A: Let L is the value of given Limit.

Q: u4 - 1 (f) lim u1 u3 + 5u2-6u VI+t- VI-t (g) lim t 0 t |2-x| (h) lim x3- 2- x

A: (f) Consider, By factoring the numerator and denominator, Canceling the factor (u – 1), Now by…