5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

Q: 2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

A:

Q: 1. Compute lim. ( ). 1 x→2+ 2 x² – 2x. where c is a real number. You may need to discuss according…

A: limx→2+1x−2−cx2−2x

Q: 2x +3 e that lim x2 + 5x 2

A:

Q: 2. Select the best answer below: lim (2x-13 X (-1)* O -2 O does not exist

A: We have to find the limit and select correct option

Q: 4x lim エ→-0 r2-8z+3

A:

Q: lim, →2, 1 X – 2J2x

A: The limit of the function is given limx→21x-2∫2xx2dt1+t3. To check the limit of the function ,…

Q: (Vx-5 1. lim () x25 \x-25, x3+3x2+10x+104 2. lim X4 x2-12

A: Given: 1.  limx→25x-5x-252.  limx→4x3+3x2+10x+104x2-12

Q: x2-4 b) lim (5p) X-2 x-2

A: We will factorise the numerator first

Q: 3x? – 17x + 20 lim 44x2 - 25x + 36 Vx+5-2 lim x+1 Vx2 + 3 - 2 lim --1 x2 - 1

A:

Q: Show that 13x - 12 can be made as small as desired by taking x close to 4. lim 3x = 12 x➔4

A:

Q: 4 2 . 02- 9f 2xS 9x) s X-X+2 lim

A: Given: 2x≤gx≤x4-x2+2

Q: V7x* +4x' -x² -2 lim x³ - 2x² -3x+1 4x-x²-2 x -0

A: Solution:

Q: 2. Rationalize liml Vx +1- x

A: Consider the given limit as limx→∞x2+1-x

Q: 2. Find lim 7x+5

A: limx→∞7x+5x2-4x=limx→∞x(7+5x)x2(1-4x)=limx→∞(7+5x)x(1-4x)

Q: 5-9x lim |x16+14 C) X--00

A:

Q: 2x e-2x2 lim २३

A: We can find the solution by applying the L' Hospital's rule for limit calculation.Here if we get 0/0…

Q: 4.x 2x 7e lim 1- e4x

A: We have to find limx→∞ e4x-7e2x1-e4x.

Q: b. limx-3= In(x-2) %3D X-3

A:

Q: /2x + 8 - 4 (V2x + 8 – 4)(V2x+ 8 +4) x² - 16 (x2 – 16) (V2x + 8 +4) (x + 4) (V2x +8 + 4) 2 lim x-4…

A: Given query is to show how we got 2 in the following step.

Q: 10 a. lim -3-2 2x+1 b. lim 2 x-3

A:

Q: Find the exists. 5 x а. lim 3 5x'+1 b. lim 10х-3x +7

A: Given that: a. limx→-∞5x-x3b. limx→∞5x3+110x3-3x2+7c. limx→∞5x2+2x2+3

Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

Q: lim x yields to 1  x-1/(square root of 4x +5)-3

A: As the given limit is not legible, the limit is computed in 2 cases. Obtain the limit as follows.

Q: (-x² – 6x–10 xs-2 1. lim g(x), where g(x)={ x>-2

A:

Q: 2. Calculate x2-4x+8 lim 3x3

A:

Q: hg limits exactly. x3+3x2-11x-68 lim x2-7x+12 X4

A:

Q: If f(x) = 3x2 - 4x +1 and g(x) = x² + 2x - 3, then what is lim 9X, g(x). X-1 f(x)

A:

Q: (込) 6. (d) lim x→3x-3 x² -9

A: Find the limit . Of [1/(x-3) -6/(x2-9)] when x tends to 3

Q: (4+ 43) (x + 43) -(16 + 43)x limy→ -43 limx. x + 43

A:

Q: If limz→-14+71i (z² + 28z) = + iy, what is the value of x – y ?

A:

Q: Show that 2 x² - y² - 1 lim (x,y) →(1,0) 1 − x + (2y)² - does not exist.

A:

Q: 11. lim x→ー4 x2-16 2x2+9x+4 z2-36 12. lim Z--16 Z-6

A: (a) We have the given limit problem as limx→-4x2-162x2+9x+4 On calculating the factors of numerator…

Q: 21. lim V2x-6 -3+

A: Topic  = Limits

Q: Show that 13x - 12 can be made as small as desired by taking x close to 4. lim(4x 2 + 2x + 5) = 5x➔0

A:

Q: 4x-x2 lim- x-4 X-Vx 12 O 16 O 11 O 13 O السؤال 7

A:

Q: 16+y limy-o

A: The given function is 16+yy-4y. Simplify the given function as follows.…

Q: 2x° – 3x"–21 Il -21 lim 13x-4x°+2x

A:

Q: lim In(10x) x-0t

A: To find the below right-hand limit.

Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

A:

Q: 1. lim Vx2 - 4 x-2+ 2. lim x(5 – x) X-5 4x 3. lim x4+Vx-4

A: This is the problem related to limit. In all the subparts limits are given is right hand side limit.…

Q: 7 lim 『ストフ-2 X + 3 メy-3-

A:

Q: 3. Evaluate the lim(2x – 7). x-4 а. lim(2x — 7) %3D 2 x-4 b. lim(2x – 7) = 1 с. lim(2x - 7) %3D7 x-4…

A: Given statement, The limit of a function is the value it approaches as the value of x approaches a…

Q: (a) (i) Lim  5x −3 − 4/ 2x −2 + 9  x→∞  (ii) Lim      (x − 3) 2/x2/2  − 2x − 3      x→∞

A:

Q: Show that lim (x,y) → (0,0) 12 √16x +9y¹ 4x²+3y does not exist. Please show a complete solution.

A:

Q: 3x? – 17x + 20 lim X4 4x2 - 25x + 36 Vx +5 - 2 lim x--1 x +1 Vx2 + 3 - 2 lim X-1 x2 -

A: Topic = Limits

Q: 4r-r lim 4 2-

A: We have to find limit

Q: Need help solving the equation that is attached

A: x->4^+ means x is slightly greater than 4. That means we have to use the part when x>4 to find…

Q: Find the limits

A: Given limits: limx→-2 x+2x2+5-3

Q: What is the solution of lim (3x-2) as x approaches to 2? O 2 O 4 O Undefind Does Not Exist

A: Given: Let y=limx→23x-2 To Find: To evaluate 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.