If a is a nonzero real constant, what is the following limit? x3 a lim xa x a4 Does not exist 1 2a 1 4a 3 4a

Q: Find the limit.

A:

Q: x3 + 4x2 + x + 5 lim 8 – 6x2 I -00

A:

Q: Find the limits

A: We divide the numerator and denominator by x.

Q: x-4 Evaluate: lim x-4 x2-x-12

A: use L'Hospital Rule or solve it simply.

Q: Determine the limit shown below in simplest form. x² X lim x1x² - 1 -

A: given limit

Q: Find the limits

A: The given function is

Q: Find the limits

A: We have to evaluate limx→9x-3x-9 . If we put the limit then we can see that it is 00 form, therefore…

Q: Vx-15-1 3. Evaluate lim X-4 x-4

A:

Q: √x-5 x-25 25-r (c) lim

A:

Q: lim X->15 x+10 5 x-15 c/+X

A:

Q: Evaluate each limit. 3x + 1 lim x+ 2 (x – 2)2 Attach File

A:

Q: Find the limit of lim 7+8x+9x4 x4

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) Vx2 + 25 13 lim x→-12 x…

A:

Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: Evaluate lim f1x2 and lim f1x2 using the figure. xS-00 yA y 5 f(x) 210 10 23+

A: Consider the given graph as

Q: 4 1 lim ( x² - 4 x -2' X-2

A: We have to find the limit: limx→24x2-4-1x-2 Here it is ∞-∞ form factorizing x2-4=x2-22 using…