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Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #11

Find the value of `lim_{x \to 3} \frac{x-3}{\sqrt{x-2} - \sqrt{4-x}}`

Question No: #12

Find the value of `lim_{x \to 2} \frac{\sqrt{1+2x}-\sqrt{1+x^2}}{2-x}`
Ans: `\frac{1}{\sqrt{5}}`
SEE SOLUTION

Question No: #13

Find the value of `lim_{x \to 2} \frac{x - \sqrt{3x-2}}{x^2 - 4}`
Ans: `1/16`
SEE SOLUTION

Question No: #14

Find the value of `lim_{x \to 0} \frac{(1+x)^{1/3}-(1-x)^{1/3}}{x}`
Ans: `2/3`
SEE SOLUTION

Question No: #15

Find the value of `lim_{x \to 2} \frac{2 - \sqrt{2+x}}{2^{1/3} - (4-x)^{1/3}}`
Ans: $-\frac{3}{4} \sqrt[3]{4}$
SEE SOLUTION