Evaluate the limit- limx - 1x2-1x-1

Name: RDSHA - Grade 11 - Mathematics - Limits - Q23
Uploaded: 2022-07-04T10:36:42+05:30
Description: Using direct substitution method, nbsp; lim_x → 1x^2+1x+1=1^2+11+1 =22 =1 Therefore, lim_x → 1x^2+1x+1=1 ...

Using direct substitution method, nbsp; lim_x → 1x^2+1x+1=1^2+11+1 =22 =1 Therefore, lim_x → 1x^2+1x+1=1 ...

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Byju's Answer

Standard XII

Mathematics

Derivative from First Principle

Evaluate the ...

Question

Evaluate the limit: $lim x \to 1 \frac{x^{2} + 1}{x + 1}$

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Solution

Using direct substitution method,

$lim x \to 1 \frac{x^{2} + 1}{x + 1} = \frac{1^{2} + 1}{1 + 1}$

$= \frac{2}{2}$

$= 1$

Therefore,

$lim x \to 1 \frac{x^{2} + 1}{x + 1} = 1$

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Derivative from First Principle

Standard XII Mathematics

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Evaluate the limit: limx→1x2+1x+1

Using direct substitution method, limx→1x2+1x+1=12+11+1 =22 =1 Therefore, limx→1x2+1x+1=1

Evaluate the limit: $lim x \to 1 \frac{x^{2} + 1}{x + 1}$

Using direct substitution method,

$lim x \to 1 \frac{x^{2} + 1}{x + 1} = \frac{1^{2} + 1}{1 + 1}$

$= \frac{2}{2}$

$= 1$

Therefore,

$lim x \to 1 \frac{x^{2} + 1}{x + 1} = 1$