Calculus

As x gets close to 1, then  $\frac{x^2-1}{x-1}$  gets close to

• 1.5

• 1.9

• 1.99

• 2

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Evaluate the limit of the given expression.

• 1

• 2

• 3

• 4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Evaluate the limit.

• 5

• 6

• 7

• 8

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Evaluate the limit.

• 8

• 4

• 32

• 48

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Which of the following is INCORRECT?

• If a sequence of values of the variable x approaches c as a limit , then a sequence of values of the function f(x) = x will also approach c as a limit.

• The limit of a sum is equal to the sum of the limits.

• The limit of a product is equal to the product of the limits.

• The limit of a quotient is equal to the quotient of the limits, provided the limit of the denominator is 0.

Tags

CCSS.HSA.APR.D.7

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Evaluate the limit using the given graph

• -2

• 4

• 1/2

• 6

Tags

CCSS.HSA.REI.D.10

Evaluate the limit.

• 1

• -1

• 2

• 4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Evaluate.

• -3

• -4

• -5

• -6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

In this discontinuity, the limit of the function exists but does not equal the value of the function at that point; this may be because the function does not exist at that point.

It is a discontinuity at which the limit of the function does not exist

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7