12) Find Limit Lim X-70x²3

Q: 1) Find the Limit lim/→0 3x²h-7th+h h

A:

Q: Find the limits in Exercise

A: (a) Given that, limx→-2+x2-12x+4

Q: Prove the limit Statement lim (5x-8x-4) = 12

A:

Q: Find the limits in Exercise

A: limx→-2xx+12x+5x2+x

Q: Find the limit

A: Given, limx→212x+33

Q: 2) Calculate: a) lim- √x-3-1 x²-16

A: We rationalize the numerator and use the formula (a+b)(a–b) = a2–b2.

Q: Evaluate and state limit laws used

A:

Q: 2021 lim Tー>C

A: We have to find

Q: 5. Determine the value of a such that lim Va-x - V8+x exists. Then determine the value of the x-1…

A: To determine the value of a such that limx→1a-x-8+xx-1...(1) exists.

Q: 23: Eva In x² x-1x²-9 Evaluate these limits: 1) lim.

A:

Q: d- lim x+1 /V2x²+x+1

A: First take x common and then use l hospital's rule to find the answer.

Q: Calculate the limit

A: We have to evaluate the following limit: limx→∞9x3+x-x32

Q: Find the limits in Exercise

A: We have to find the following limits -  limθ→0-(1 + csc θ)

Q: 1) lim x → 3 x³-3x²+2x-6 x² - 4x³ +6x+9 4

A:

Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: 2x+5 lim 2 5x+2 m *+) Find the limit

A: