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Find the value of k if  ?

  1. 21
  2. 18
  3. 32
  4. - 6

Answer (Detailed Solution Below)

Option 1 : 21
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Detailed Solution

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CONCEPT:

If  does not result into indeterminate form, then we use direct substitution in order to find the limits.

The are 7 indeterminate forms which are as follows:

  • (∞ - ∞)
  • (0 × ∞)
  • 00
  • 1∞
  • ∞0

CALCULATION:

Given: 

As we know that, if does not result into indeterminate form, then we use direct substitution in order to find the limits.

Here, also we can see that,  does not result into any indeterminate form

So, we can substitute x = 2 in the expression 3x2 + 5x - 1 in order to find the value of k

⇒ 

Hence, option A is the correct answer.

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