Find the following limi xa- a 2) lim xa x- a

Q: Vx² + 8 – lim x-1 =? x+1

A: We have to find limit

Q: Vx+5-3 b) lim x→4 х-4

A:

Q: sin 04) find limx-2n 2x-4n S0 (x²+x+1)* Q5) lim- (r²+1)100

A: In the given question we have to find the limit of the question 4 and question 5. the question 4 is…

Q: Find the constant a such that Va ax +4-2 lim

A:

Q: sec 2X find the lim

A: To evaluate the limit: limx→0sec2x3x csc2x Solution: We know that, cscθ=1sinθ limx→0sinaxax=1…

Q: tan? 3.x lim x→0 4x2

A: Given: limx→0tan23x4x2

Q: Sin Q5: Find lim,¬6 x-3

A: Given:         limx→6sinπxx−3

Q: 1 b. lim ,5 x-0

A:

Q: x→0 cot3

A: we are given  limx->06x cot3x which is = limx→06x( cos3xsin3x) if we apply limit we will get…

Q: Evaluate lim (tan-(t),e-2t,m²). t-1

A: We want to find given integral.

Q: Q6) Find the value of lim X-0

A:

Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-> -3 here 0/0 form so we use law hospital rule diffrentiate…

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

A:

Q: d) (x+27) -3 X lim-

A:

Q: sec 2x Q3. Find the lim,0 3x csc2x

A:

Q: x+4 Evaluate the following Imit: lim-* х-4 A) 1 B) Indefinite C) 0 D 2

A: We have to find the limit of the functions.

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: 7 (1+ lim *|の

A:

Q: Evaluate lim (r + 2x° - 5}.

A: Limit is the value that function approached if input approaches to some value. It has many…

Q: lim

A:

Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

Q: 1-x? 2. lim 3x +1

A: We have to find the limit of given function lim x→∞ (1-x^2)/(3x+1)

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: x8 – 1 lim x-1x5 – 1

A:

Q: raleuto lim Y-12 XB

A: First rationalize the expression as follows.

Q: nd lim sinx -b x2 our answer: b. 2b does not exist ear answer

A:

Q: 13x3sin(는)= 13 2.플) .3, lim %3D (x.y) → (1,-

A:

Q: Vx+1-2 Find lim X-3 x-3

A: Given: A limit: Substituting x=3 in the limit we get, Since 0/0 is an intermediate form so we can…

Q: valuate the lim+ − -2 (t² - 9) / (t³ + 5t +19) a. 1 Ob. -5

A: Introduction:A function may approach two different limits. One where the variable approaches its…

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.