Find the value of x - 2limx2-4-x-2

Direct substitution works here, usually the question is to find the limit x → 2limx^2 4/x+2. This cannot be solved by direct substitution. In our case, x → 2 ...

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Standard XIII

Mathematics

Algebra of Limits

Find the valu...

Question

Find the value of $lim x \to 2 \frac{x^{2} - 4}{x + 2}$

Limit does not exist

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Solution

The correct option is C
0

Direct substitution works here, usually the question is to find the limit $lim x \to 2 \frac{x^{2} - 4}{x + 2}$ . This cannot be

solved by direct substitution.

In our case,

$lim x \to 2 \frac{x^{2} - 4}{x + 2} = \frac{lim x \to 2 x^{2} - 4}{lim x \to 2 x + 2} = \frac{0}{4} = 0$

We can directly substitute x=2 and find the limit in this problem.

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Find the value of limx→2x2−4x+2

The correct option is C 0 Direct substitution works here, usually the question is to find the limit limx→2x2−4x+2. This cannot be solved by direct substitution. In our case, limx→2x2−4x+2=limx→2x2−4limx→2x+2=04=0 We can directly substitute x=2 and find the limit in this problem.

Find the value of $lim x \to 2 \frac{x^{2} - 4}{x + 2}$