Evaluate the Following One Sided Limit: Lim X → − 2 + X 2 − 1 2 X + 4 - Mathematics

प्रश्न

Evaluate the following one sided limit:

$lim_{x \to - 2^{+}} \frac{x^{2} - 1}{2 x + 4}$

उत्तर

$lim_{x \to - 2^{+}} (\frac{x^{2} - 1}{2 x + 4})$
$L e t x = - 2 + h, where h \to 0 .$
$lim_{h \to 0} [\frac{{(- 2 + h)}^{2} - 1}{2 (- 2 + h) + 4}]$
$= \frac{4 - 1}{- 4 + 4}$
$= \frac{3}{0}$
$= \infty$

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Introduction of Limits

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Q 13.09 Q 13.08 Q 13.1

अध्याय 29: Limits - Exercise 29.1 [पृष्ठ ११]

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अध्याय 29 Limits
Exercise 29.1 | Q 13.09 | पृष्ठ ११

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Introduction of Limits

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Evaluate the Following One Sided Limit: Lim X → − 2 + X 2 − 1 2 X + 4 - Mathematics

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Evaluate the Following One Sided Limit: Lim X → − 2 + X 2 − 1 2 X + 4 - Mathematics

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