QuestionEvaluate the limit: $107 \lim _{x \rightarrow 1}(2-3 x)=-1$

Studdy Solution

STEP 1

Assumptions1. The limit is given by $\lim{x \rightarrow1}(-3 x)$ . The value of the limit is given as $-1$
3. The constant multiplier is $107$

STEP 2

We need to verify if the limit value is correct. We can do this by substituting the limit point into the function.
$\lim{x \rightarrow1}(2- x) =2 -(1)$

STEP 3

Calculate the value of the limit.
$\lim{x \rightarrow1}(2-3 x) =2 -3 = -1$

STEP 4

We can see that the given value of the limit is correct. Now, we need to multiply this limit value by the constant multiplier.
$Solution = Constant\, multiplier \\times Limit\, value$

STEP 5

Plug in the given values for the constant multiplier and the limit value to calculate the solution.
$Solution =107 \\times -1$

STEP 6

Calculate the solution.
$Solution =107 \\times -1 = -107$ The solution to the problem is $-107$ .

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QuestionEvaluate the limit: $107 \lim _{x \rightarrow 1}(2-3 x)=-1$

Studdy Solution

STEP 1

Assumptions1. The limit is given by $\lim{x \rightarrow1}(-3 x)$ . The value of the limit is given as $-1$
3. The constant multiplier is $107$

STEP 2

We need to verify if the limit value is correct. We can do this by substituting the limit point into the function.
$\lim{x \rightarrow1}(2- x) =2 -(1)$

STEP 3

Calculate the value of the limit.
$\lim{x \rightarrow1}(2-3 x) =2 -3 = -1$

STEP 4

We can see that the given value of the limit is correct. Now, we need to multiply this limit value by the constant multiplier.
$Solution = Constant\, multiplier \\times Limit\, value$

STEP 5

Plug in the given values for the constant multiplier and the limit value to calculate the solution.
$Solution =107 \\times -1$

STEP 6

Calculate the solution.
$Solution =107 \\times -1 = -107$ The solution to the problem is $-107$ .

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QuestionEvaluate the limit: 107lim⁡x→1(2−3x)=−1107 \lim _{x \rightarrow 1}(2-3 x)=-1107limx→1​(2−3x)=−1

Studdy Solution

STEP 1

Assumptions1. The limit is given by lim⁡x→1(−3x)\lim{x \rightarrow1}(-3 x)limx→1(−3x). The value of the limit is given as −1-1−13. The constant multiplier is 107107107

STEP 2

We need to verify if the limit value is correct. We can do this by substituting the limit point into the function.lim⁡x→1(2−x)=2−(1)\lim{x \rightarrow1}(2- x) =2 -(1)limx→1(2−x)=2−(1)

STEP 3

Calculate the value of the limit.lim⁡x→1(2−3x)=2−3=−1\lim{x \rightarrow1}(2-3 x) =2 -3 = -1limx→1(2−3x)=2−3=−1

STEP 4

We can see that the given value of the limit is correct. Now, we need to multiply this limit value by the constant multiplier.Solution=Constant multipliertimesLimit valueSolution = Constant\, multiplier \\times Limit\, valueSolution=ConstantmultipliertimesLimitvalue

STEP 5

Plug in the given values for the constant multiplier and the limit value to calculate the solution.Solution=107times−1Solution =107 \\times -1Solution=107times−1

STEP 6

Calculate the solution.Solution=107times−1=−107Solution =107 \\times -1 = -107Solution=107times−1=−107The solution to the problem is −107-107−107.

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QuestionEvaluate the limit: $107 \lim _{x \rightarrow 1}(2-3 x)=-1$

Assumptions1. The limit is given by $\lim{x \rightarrow1}(-3 x)$ . The value of the limit is given as $-1$
3. The constant multiplier is $107$

We need to verify if the limit value is correct. We can do this by substituting the limit point into the function.
$\lim{x \rightarrow1}(2- x) =2 -(1)$

Calculate the value of the limit.
$\lim{x \rightarrow1}(2-3 x) =2 -3 = -1$

We can see that the given value of the limit is correct. Now, we need to multiply this limit value by the constant multiplier.
$Solution = Constant\, multiplier \\times Limit\, value$

Plug in the given values for the constant multiplier and the limit value to calculate the solution.
$Solution =107 \\times -1$

Calculate the solution.
$Solution =107 \\times -1 = -107$ The solution to the problem is $-107$ .