All categories

2 years ago

"For which value of c does Limit of f (x) as x approaches c not exist?"

Mathematics

1 answer:

Damm [24]2 years ago

7 0

The limit does not exist at the jump discontinuity at x = -2.

From the left, the green-ish curve approaches 4; from the right, the orange curve approaches 6. These one-sided limits are not equal, so the two-sided limit does not exist.

You might be interested in

What’s the units?? Plz need help

Sergeu [11.5K]

Answer: 4 units

Step-by-step explanation:

4 0

2 years ago

In the adjoining equilateral triangle PQR , X , Y and Z are the middle points of the sides PQ , QR and RP respectively. Prove th

olasank [31]

Answer:

See Below

Step-by-step explanation:

Statements: Reasons:

$1)\text{ } \Delta PQR\text{ is equilateral}$ Given

$2)\text{ }PQ=QR=RP$ Definition of Equilateral

$3)\text{ } X, Y, Z\text{ are the midpoints of } PQ, QR, RP$ Given

$4)\text{ } PX=XQ$ Definition of Midpoint

$5)PQ=PX+XQ$ Segment Addition

$6)\text{ } PQ=2XQ$ Substitution

$7)\text{ } QY=YR$ Definition of Midpoint

$8)\text{ }QR=QY+YR$ Segment Addition

$9)\text{ } QR=2QY$ Substitution

$10)\text{ } 2XQ=2QY$ Substitution

$11)\text{ } XQ=QY$ Division Property of Equality

$12)\text{ } XQ=PX=QY=YR$ Transitive Property

$13)\text{ } RZ=ZP$ Definition of Midpoint

$14)\text{ } RP=RZ+ZP$ Segment Addition

$15)\text{ } RP=2RZ$ Substitution

$16)\text{ } 2XQ=2RZ$ Substitution

$17)\text{ } XQ=RZ$ Substitution

$18)\text{ } XQ=PX=QY=YR=RZ=ZP$ Transitive Property

$19)\text{ } \angle Q\cong \angle R\cong \angle P$ Definition of Equilateral

$20)\text{ } \Delta XQY\cong \Delta YRQ \cong \Delta ZPX$ SAS Congruence

$21)\text{ } XY\cong YZ\cong ZX$ CPCTC

$22)\text{ } \Delta XYZ\text{ is equilateral}$ Equilateral Triangle Theorem

5 0

2 years ago

Read 2 more answers

The function h(t) = -16t^2 + 144 represents the height, h(t), in feet, of

Marrrta [24]

- 16t^2 +144 you can rewriting in this form 144 -16t^2 = (12 -4t)(12+4t)

12-4t=0

12 =4t divide both sides by 4

t=3

hope helped

5 0

2 years ago

Factor, then solve for "x"

bekas [8.4K]

X^2+5x+6=0
(x+3)(x+2)=0
x-3, x-2

8 0

2 years ago

Use the T-table below to determine 3 solutions to this equation: y = 2x

Jet001 [13]

The table is attached as a figure

The given equation is ⇒⇒⇒⇒ y = 2x
To solve this equation, we need to pick numbers from the table then this number will be substituted into the equation to find y
we need 3 solutions . so, we need to pick 3 numbers of x
From the table, let us choose x = 0
y = 2x
y = 2 * (0)
y = 0

From the table, let choose second value of x such as x = 1
y = 2 * (1)
y = 2

From the table, let choose third value of x such as x = -1
y = 2 * (-1)
y = -2

So, the picked three solutions are
y = 0 at x = 0
y = -2 at x = -1
y = 2 at x = 1

3 0

3 years ago