Find the one-sided limits of f(x). - 7x + 3 -2r- 4 if x> -2 if x < -2 f(x) = Step 1 of 2: Find lim f(x).

Q: Evaluate the limit of the function: lim f(x) =- /7 +x -V7

A: topic - limits

Q: Find the limits lim х2 — 1 as a. x→1+ b. x→1 c. x→-1+ d. x→-1

A: we have to find the limit    the given expression is

Q: Find the limit V3x(x-1) lim→1 |x-1|

A: we have limx→1-3x(x-1)|x-1| this is 00 indeterminate term

Q: x +1 lim Vx2 + 2x +3

A:

Q: Find the limit, if it exists.

A: To find the limit limx→-∞ 3x2x+5

Q: Find the limits: Vx – 1 lim x→1 x - 1 а.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the limit. lim (V-5x + 19 + 7) X-2

A:

Q: Find the limit algebraically. ( f(-3 + h) – f(-3) lim h0 where f(x) = -3x2 + 2x + 9

A: Our objective is to find the limit algebraically.

Q: Find the limits lim (V² + 3 + x) X -00

A:

Q: Find the limit. 3e - 3 V1 + t - 1 4 lim 1 +t/

A: We have to find the limit of this Vector. If the limit 0/0 form, then we can use L' Hospital rule.…

Q: V5x+9-3 -lim x+0

A: To evaluate: limx→05x+9-3x which is in 00 form. So, the L'Hopital rule is to apply.

Q: Find the limits lim(2 - 3 as 1/3 a. t→0* b. t-0

A: Given function is: ft=2-3t13 As t→0+ we get, limt→0+ft=limt→0+2-3t13=2-∞=-∞

Q: Find the limit if it exists. a. lim -) x→-00 5x3+1 b. lim х-0о 10х3-Зx2+7 5x2+2 С. lim x→∞ Vx2+3

A: Limits of function can be found by simplifying the function and substituting values for x as given…

Q: Find the limits 4 lim x-0 x²/5

A: We know that, limx→0ax=∞; a is any of positive constant

Q: Find the limit.

A: Given  The limit is limx→02+x-2x.

Q: Find the indicated limit if it exists. √x+4-2 a) lim X-0 X 8x³+27 b) lim x-1.5 2x + 3

A:

Q: Find the limit L.

A: Given, limx→2x2-3 To find the limit of above expression.

Q: Find the limit if it exists. lim Vx² – 9 x→3+

A:

Q: Find the limit, if it exists. 1) lim (x2 + 8x - 2) X→1

A: =?

Q: x² + x lim * + 2x + x³

A:

Q: Find the indicated limit 2x lim( Vx +1 10)

A:

Q: Find the limit, if it exists.

A:

Q: Find the Limiti lim (xt +2x") メ→ -○

A: Solution is given below

Q: find the limit of x^2/1-4x^2 as x approaches infinity

A:

Q: Find the limit L.

A: limx→23x+2

Q: Find the limits: Vx - 1 lim х>1 х — 1 a. 2x3 b. lim х- оо 3(х-2)2 2x3 с. lim х-2 3(х-2)2 x+1 d. lim…

A: Since there are multiple questions posted, we will answer the first question (1). If you want the…

Q: Find the limits 1 lim x→0 x²/3

A:

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: Calculate the limit algebraically: x³ + 8 lim x→-2 x² + 7x + 10

A: Consider the given expression, If we substitute  in the expression we get  form. so, use L-hospital…

Q: Find the limit, if it exists.

A: Given: Let y=limx→-∞2xx6-113 To Find: To evaluate the given limit.

Q: Q2: Find the limit x + 3 lim x→-3 x2 + 4x + 3

A: We have to find limit

Q: V x2 + 9 - 5 lim X→-4 x + 4

A:

Q: Find the limit of lim((9+3x)1/2-3)/x as x approaches 0

A: To determine the value of the limit.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 + 3x – 10 lim X → 2 x2 -…

A:

Q: Find the limits algebraically: (a) lim vx2 + 2x – 3 x-3

A: Find the limit of the given expression. Given function is continuous at x=3. So we can apply the…

Q: Find the limit, if it exists. Vx² – 5 lim - 5 7x – 1

A:

Q: Find the indicated limit 2x lim(- VX +1 X>00

A: This question is related to limits, We will solve it using given information.

Q: Find the limit. -7x + 5 lim Vx2 + x X→-0

A: Given limit, limx→-∞-7x+5x2+x

Q: Find the limit of the function lim_4-√x²+7 X - 3

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) Vx + 4 lim 4 x-12 X - 12…

A: topic - limits

Q: x-2 51. lim x-1x-1

A:

Q: Find the limit. Vx +7-4 lim X-3 X-3

A: limx→3 x2+7-4x-3

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  5x2…

A: The given limit of expression is lim x→∞+5x2+5x-42x2-3x Divide the expression by highest denominator…

Q: if Væ² – 5x – 6 < f(x) – 1 < v6² – x² then find lim f (x) - | - x-6

A: Given:x2 - 5x -6  ≤ f(x) -1 ≤ 62 - x2To find : limx→6f(x)

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 - 4x + 18, l-x2 + 4x -…

A: Detailed explanation mentioned below

Q: lim X-1 2メー1 4x2

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→−7  x2…

A:

Q: Find the limit of the function algebraically. x2 + 2x lim

A:

Q: х —х-2 15. lim x→2 x² -4

A: