QUESTION 6 1-Z What is lim = ? i+1 i- 1 2i i-1 1-i

Q: acosx+bx sinx-5 (ii) Find the values of a and b so that lim exists and finite

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: 6h lim-0 tan4h

A:

Q: lim Explain each Step.

A:

Q: tan(23z) lim

A: This problem of limit can be solved by the L' Hospital rule which is explained in step 2.

Q: 4 x*-81 Find lim- x+3 2x²-5x-3

A: First of all we will factorise the numerator and denominator separately and then cancel out the…

Q: (4-x2) 3-1x2+5 tim

A:

Q: a) lim 2+1 - 2x - 5 (2x - 1)³

A: Topic:- calculus

Q: e2x - e 2x 3. lim, 0 sinx

A: To evaluate the given limit.limx→0 e2x-e-2xsin x

Q: lim,→-1 22²+2-1 2+1

A: See the answer below

Q: x² x+0 tan² (x² + 2x) Evaluate: lim

A: The objective of the question is evaluate the limit at "x=0".

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: 3 lim (1+ 4 x2

A: Given thatlimt→∞1+3x+4x2x. The objective of the problem is to solve the given limit.

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: Example 48 lim,→∞(Vx² +x – Væ² + 5) =?

A:

Q: 1 1 # 7) lim X-2 *- x+2

A: Topic - limits

Q: 1-z What is lim = ? !-2!- +2 1-i i-1 2 i+1 i-1 2i 2. 2.

A: Option (b) is correct

Q: Evaluate lim sin(a+2x)-2 sin(a+x)+sin a x2

A:

Q: lim I+00 82-71 ||

A:

Q: 2x° – 3x"–21 Il -21 lim 13x-4x°+2x

A:

Q: Vr2 + 8 – 3 lim I +1 2--1

A: We have to find limit

Q: lim 1 1-x = 2 Select one True False

A: We can check it true or false as below.

Q: Evaluate lim r-1 (VI+2-1)(VI+5 - 2) (Va+2 – 1)(x+1)

A:

Q: lim cos +) + ;

A: To evaluate the limit: limx→πcosx2+π4+12 Solution: Evaluating the given limit.…

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.