Evaluate the limit - limx - 03x-1x-3

Name: RDSHA - Grade 11 - Mathematics - Limits - Q34
Uploaded: 2022-07-04T10:36:42+05:30
Description: Lim_x → 03x+1x+3=3(0)+10+3=13 Therefore, lim_x → 03x+1x+3=13 nbsp; nbsp; ...

Lim_x → 03x+1x+3=3(0)+10+3=13 Therefore, lim_x → 03x+1x+3=13 nbsp; nbsp; ...

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Byju's Answer

Standard XII

Mathematics

Indeterminate Forms

Evaluate the ...

Question

Evaluate the limit : $lim x \to 0 \frac{3 x + 1}{x + 3}$

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Solution

$lim x \to 0 \frac{3 x + 1}{x + 3} = \frac{3 (0) + 1}{0 + 3} = \frac{1}{3}$

Therefore,

$lim x \to 0 \frac{3 x + 1}{x + 3} = \frac{1}{3}$

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Indeterminate Forms

Standard XII Mathematics

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Evaluate the limit : limx→03x+1x+3

limx→03x+1x+3=3(0)+10+3=13 Therefore, limx→03x+1x+3=13

Evaluate the limit : $lim x \to 0 \frac{3 x + 1}{x + 3}$

$lim x \to 0 \frac{3 x + 1}{x + 3} = \frac{3 (0) + 1}{0 + 3} = \frac{1}{3}$

Therefore,

$lim x \to 0 \frac{3 x + 1}{x + 3} = \frac{1}{3}$