x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

Q: Evaluate the limit and the function.

A: Here we take N tends to infinity for finding the limit function

Q: Evaluate the limit V5 +3r2 lim 5 6x

A: We find limit of given function

Q: lim x² ln x x-0*

A:

Q: Evaluate the limit: - 7x - 21 lim x-3 x² - x - 12 =

A:

Q: sin(r – 3) lim I3 r2 + 2r – 15

A:

Q: 2x2-5x-12 4-V4x Evaluate the limit lim→4

A: From the given problem:   limx→42x2-5x-124-4x ....(1)   So, simplify:…

Q: Evaluate the limit: 2x + 16 – 4 lim 7x

A:

Q: lim(V9x² +x – 3x) Evaluate lim V9x² +x – 3x X00

A: Solve for the limit

Q: Calculate the limit lim 1²+3z-10 H-2

A:

Q: 6. Evaluate the limit. 1 (7/727 n² (a) lim n² sin n18 sin (0)

A:

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: Evaluate the limit lim x → 00 V8 + 5x? (8+3x)

A:

Q: Evaluate the limit 1 + 9x 3 6x lim エ} C0

A:

Q: lim log, (8X – 4) x→∞

A: The given limit is: limx→∞log28x-4 This can be written as:…

Q: lim (x,y)→(0,0) COS [y ln(x+1) exy+2

A: The solution is given below

Q: Evaluate the limit 4x + 9 lim x 11x²9x +9

A:

Q: lim x→0 x² – 9 sin(x) Xx =

A:

Q: 1 – cos 3h 39. lim h

A: limh→π21-cos 3hh