(x +a)3 – a3 lim

Q: Q5/B: Evaluate lim (). x→1/2 \4-x²

A: Recall: limx→a f(x) exists and equal to L if and only if limx→a- f(x) =limx→a+f(x) exists and both…

Q: Inx lim =? x→1 x-1

A: Given: limx→1lnxx-1

Q: V1+x-1 lim

A:

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: Given limit limx→3 x3-27x2-9 We can write the above limit as limx→3 x3-27x2-9=limx→3 x3-33x2-32

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given: If p(x) is a polynomial, then limx→∞ p(x)ex=0

Q: 2x²+3x Evaluate lim,→∞ x3+x+1 O None O O

A: We have to find limit

Q: x2 + 1 lim→∞ =? x2 + V2x4 – x

A: Given function is fx=x2+1x22x4-x

Q: (a) Find constants m and n such that lim (xel/x – (mx + n)) = 0. %3D

A: Given,

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: We have given a limit function;

Q: x* + x? 1 lim

A:

Q: A- The result of the follo 2x² + 3x lim xxx³+x+1 02 Oo O 1 O infinity

A: To find: limx→∞2x2+3xx3+x+1

Q: x²y Find the lim (x,y)→(0,0) x4+y2 '

A: Find the limit

Q: x² – 9 (b) lim x→3- x + 3

A:

Q: x*-a* c. If lim Xa x-a (108 * T), find the value of "a".

A: In this question we have to find the value of a which we can find out by solving the limit and…

Q: Evaluate. x + x2 lim X-+00 1 – 2 x2 Input the solution in decimal form.

A:

Q: (a) Find the following: x1/3 + 9x/5 i. Lim X0 6x/2 - 4x1/4 (2x – 1)'/² – 3 ii. Lim X-5

A:

Q: let fcx)-x2+てメー1X, five a) limf(x) メ -7 O b) lim f(x) Xー70

A:

Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A:

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A:

Q: -2x² + x 41. g(x) y 3 - 1 -2 - 1 (a) lim g(x) (b) lim g(x) *→-' 1.

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A: the given limit is: limx→-2x3+8x2+6x+8 we have to evaluate the given limit using the identity:…

Q: Evaluate in terms of the constant a.

A: The limit of a function is the function value which the function approaches as the domain value…

Q: Snsh-2h Lim

A: To find the limit

Q: 4x² + 12x Find lim x→-3 x2 + 4x + 3 hoose 1 answer:

A: Given function is ,  limx→-3 4x2+12xx2+4x+3 Substitute x=-3 in the given function,…

Q: bx²+18x+2b What is the value of b so that lim exists? x2+x-2 x-1

A: Limit for certain function exists if it returns some real value, and is not indeterminate. In case…

Q: Evaluate in terms of the constant a. lim (4t - 2at + 3a) t→ -1

A:

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

A:

Q: x² +x-5 1- 2x-x (1) Find lim

A: The given limit,     limx→∞x2+x-51-2x-x3

Q: The lim x-0x is equal to positive infinity if an only if the exponent, r, is A a negative odd…

A: The given limit,      limx→01xr

Q: Evaluate in terms of the constant a. lim (4ah + 1a) h→ -2

A: Consider the given limit as limh→-24ah+a Apply the limit as limh→-24ah+a=4a-2+a=-8a+a=-7a Hence, the…

Q: e2x -1 (2) Lim

A:

Q: x2 − 1 ?. (a) Evaluate Lim    _____________                         x→1    x2 + 5x − 6

A: We will factor the numerator and the denominator first

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

A:

Q: Jxi +5 lim + 5 x² -. Q4/ a) Find

A:

Q: lim tkx'-1 k is a constant ト

A:

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A:

Q: Which is the lim a* ? xo- 1 -1 +00

A:

Q: 3(r-4) Vx+5 x-4 3-Vx+5 To evaluate: The value of lim

A:

Q: Evaluate; lim x+ - 3- [[x]]+1 |x| A 2/3 ® -2/3 c) 1 D) -1 E) none of the given choices

A:

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

A:

Q: U EValuate 1he following a) lim メ→ x3 -1 - 1 メ+ b lim メう。

A:

Q: 2x a. lim x-+3" X - 3

A: limit

Q: 2x2 + 100x Find lim 1 - x3 x→-00 Select one: O +∞ O 2 O -2

A:

Q: Evaluate in terms of the constant a.

A: limx→0 (x+a)3 - a3x -(i)Our Aim is to evaluate the term given by equation-(i) in terms of constant…

Q: (Væ² x² + 6x – x lim

A: TO EVALUATE THE LIMIT limx→∞x2+6x-x HINT USE PROPERTIES IF INDETERMINANT FORM

Q: x3-7x² +10x Which shows that the lim is an indeterminate form? x→2 x2+x-6

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: a* - b* lim for positive constants a and b

A:

Q: Evaluate in terms of the constant a.

A: To evaluate In terms of a

Q: x2" lim; 2" 02

A: When limit is of the form 00or ∞∞ (Indeterminate form ) then L Hospital's rule is applied , In L…

Q: Let F(x) = 2x²-3x ,does lim_F(x) exists? |2x-3| X-1.5

A: Consider the definition of modulus function, x=x; x>0-x; x<0 The function is given as,…