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Chapter 1: Q. 50 (page 136)

$\lim_{x \to 0 +} (l n (1 + \sqrt{x}))$

Short Answer

Expert verified

$\lim_{x \to 0 +} (l n (1 + \sqrt{x})) = 0$

Step by step solution

Step 1. Given information

$\lim_{x \to 0 +} (l n (1 + \sqrt{x}))$

Step 2. Plug in the values

$\lim_{x \to 0 +} (l n (1 + \sqrt{x})) = \ln (1 + \sqrt{x})$

$\lim_{x \to 0 +} (l n (1 + \sqrt{x})) = \ln (1 + \sqrt{0})$

$\lim_{x \to 0 +} (l n (1 + \sqrt{x})) = 0$

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limx→0+ln1+x

Short Answer

Step by step solution

Step 1. Given information

Step 2. Plug in the values

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$\lim_{x \to 0 +} (l n (1 + \sqrt{x}))$