Evaluate the limit and justify each step by indicating the appropriate Limit Law(s). 2x2 + 1 lim V 3x – 2 |

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: Find the limit. lim (V-5x + 19 + 7) X-2

A:

Q: Find the limit. Vn2 lim + 8h + 19 - 19 h→0*

A:

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

A: We find limit of given function

Q: lim x+0 V1 + 3x – 1

A: SOLUTION-

Q: Evaluate the limit. 3x3 – 5x² + 1 lim 00-X V2x6 – 4x + 3

A:

Q: Estimate the limit numerically. x+14x + 49 lim x+7

A:

Q: 2x -5x +2 3. Calculate the limit lim .2 x-2x X→2 X -3x +4

A: Limit of the function f(x) as x approaches  to a means as x approaches to a from left side and right…

Q: find the limit or explain why it does not exist. x? + x lim + + 2x4 + x³ a. as x→0 b. as x→ -1

A:

Q: Find the limit. lim (2x² + 5x + 4) X→-3

A: Let assume,

Q: Evaluate the limit. x4 - 7x3 + 1 lim x→-00 4 – 4x² – 9x4

A:

Q: Find the limit L. 2x+12x+ 10 lim x+5

A:

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

A:

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: Find the limit or show that it does not exist. Vī lim 1+4x6 2- x'

A: To find the limit: limx→ -∞ 1+4x62-x3

Q: Find the limit of the function algebraically. x2 + 2x lim

A:

Q: Find the one-sided limit. lim (2x + 7) X→-4+

A:

Q: Evaluate the limit. 2x2 + x lim 7х + 6

A: Given: The given limit is limx→∞2x2+x7x+6. Divide the numerator and denominator with x…