5. Calculate lim f(x), where x+1+ f(x) = = its 12.05 (c)-2 (d) 2 (e) does not exist 5A 5B if x < 1 if x = 1 2-1 if x>1 x-1 4-x -2 (a) 3 (b)11) an on an a 5C 5D 5E

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

A:

Q: -e g). lim [In(6x² + 5) – In(3x² – 6)] h). lim ズ→の

A: g) limx→∞ln6x2+5-ln3x2-6h) limx→-∞e2x-e-2xe2x+e-2x

Q: (d) 2¹ +5r³ +6r² lim 7--2 r²(x + 1) − 4(x + 1)

A:

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

Q: 1– x2 lim r--00 3 + 2x – x3

A:

Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…

Q: 4/2+81x 3 X→∞0 X +7 Find lim lim X→∞0 2+81x 3 X +7 = (Simplify your answer.)

A: Given query is to find indicated limit.

Q: ]x - 5| lim 3x-15 x5-

A:

Q: x² 12x + 27 - lim x → 9 x – 9 -

A: limx→9x2-12x+27x-9

Q: 10. Calculate (a) 3 (b) 0 (c) 15 lim x⇒1 (d) 13 (e) does not exist x18 - x3 x5 - 1

A: We are required to find the value of : limx→1x18-x3x5-1