t4 – 2 lim t→-2 2t² – 3t + 2

Q: 2h 4. lim h0 2h S(x) dr

A: Answer and explanation is given below

Q: 10х? + 11ху + y .2 lim +,9) ->(-1,10) 10х2 — 39ху — 4у2

A: Introduction: If a function f(x,y) of two variables x and y, is continuous at the point (a,b), if…

Q: 4x lim エ→-0 r2-8z+3

A:

Q: Vx-2 lim х-2+ Vx2-4

A:

Q: 20x10 – 2x + 2 lim V 5x10 +x E- ;*+ or" ||

A: First we put the given value in the function if it attain a finite value then we achieved the answer…

Q: lim (412 + 8t – 5)3/2 t- 2.

A:

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A:

Q: Vx+h-Vx h# 0 3- lim h→0 h

A: Given, Simplify limh→ 0x+h-xh,                  h≠0

Q: x± – 2x – 3 x⇒2 x2 – 5x + 6° - (b) lim

A:

Q: 4x - 3z2 - 8æ 423 1. lim 2-00 4 - 8r – 3x3 3a?-8x 4x - 3z2-8a 423 2. lim I-00 4 - 8x – 3r3

A:

Q: Vx +1 - 2 x² +x – 6 1. Find lim- and lim x→3 x - 3 x→-3 x2 – 9

A: Here, we have to find limits.

Q: 2x – -12x + 40 3x2 + x – 14 14) lím エ→2

A: We will find the value of the limit as following.

Q: t + 3 24. lim 2t2-1 t 0∞

A: Given:

Q: 2x² + x – 1t lim x→-1 x + 1

A:

Q: x – 4x + 4 3+5x² – 14X / - limx – 0

A: Given: limx→0x2-4x+4x3+5x2-14x

Q: x²- 1 lim x→1 x2+3x-4

A:

Q: Vw² – 2w +3 lim W +5 W→-00

A: limw→-∞w2-2w+3w+5

Q: 5x+4 lim X=-0 V9x2 –1 X =00

A: Consider the limit: limx→-∞5x+49x2-1 Expand the fraction:…

Q: 3/ r2-3r+4 V 2r2 –r–1 lim r→4

A: We need to evaluate the given expression.     limr→ 4r2-3r+42r2-r-13Plug in the value r=4=42-3·…

Q: x2 – 4 lim x→2 x – 2 4 2 6.

A: