Saved Bookmarks
| 1. |
Find the value of k if \(\mathop {\lim }\limits_{x \to 7} g\left( x \right) = k\) where \(g(x) = \sqrt {8x - 7}\) ?1. 32. 63. 74. None of these |
|
Answer» Correct Answer - Option 3 : 7 CONCEPT: If \(\mathop {\lim }\limits_{x \to a} f\left( x \right)\) 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:
CALCULATION: Given: \(\mathop {\lim }\limits_{x \to 7} g\left( x \right) = k\) where \(g(x) = \sqrt {8x - 7}\) As we know that, if \(\mathop {\lim }\limits_{x \to a} f\left( x \right)\)does not result into indeterminate form, then we use direct substitution in order to find the limits. Here, also we can see that \(\mathop {\lim }\limits_{x \to 7} g\left( x \right)\) does not result into any indeterminate form So, we can substitute x = 7 in the expression \(g(x) = \sqrt {8x - 7}\) in order to find the value of k ⇒ \(\mathop {\lim }\limits_{x \to 7} \sqrt {8x -7} = 7 = k\) Hence, option C is the correct answer. |
|