Use continuity to evaluate the limit. 12 + Vx lim x-4 V12 + x

Q: find the limit or explain why it does not exist.

A: The limit shows the function behaviour at given point. The value of function for a given limit is…

Q: lim x+0 V1 + 3x – 1

A: SOLUTION-

Q: Evaluate the limit, if it exiİsts. x2 - 8x + 15 lim X- 3 X - 3

A:

Q: 4

A: Detailed Solution : We have to find the limit of rational function x−4x2+x−20​ as x goes to 4.i.e.…

Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

A:

Q: Evaluate this limit. lim x-4 2x² 12x + 16 x²-x-12

A: let C=limx→42x2-12x+16x2-x-12

Q: Find the limit is it exisit.

A:

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

A:

Q: Find the limit. lim X+3 X-3- O -1 -00

A: Find the limit

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: 1 lim x+1 4x - 12x +9 2x +x+1

A: We have to solve given problem:

Q: EVALUATE

A: We divide the numerator and denominator by x.

Q: √x+2-2 lim x→2 x-2 ||

A: Given, limx→2x+2-2x-2

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

A:

Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: Vx+15 - 2 is The value of the limit lim x--11 x+11

A:

Q: Evaluate the limit 9x2 - 6x + 9 lim 11x + 5 エ→00

A: We know that , limx→infinity   c • f(x)  = c limx→infinity f ( x )

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.