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AAKASH SERIES-LIMITS-EXERCISE 1.2 ( SHORT ANSWER QUESTIONS)
- Show that Lt(xto0)(x)/(sqrt(1+x)-sqrt(1-x))=1
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- Show that : Lt(x to 0)(sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1+x^(2))-sqrt(...
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- Show that : Lt(x to a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x))=(2...
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- Show that Lt(xto0)((1+x)^(3//2)-1)/x=3/2
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- Evaluate Lt(x to 0) (root(3)(1+x)-root(3)(1-x))/(x)
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- Evaluate Lt(x to 0)((1+x)^(1//8) - (1 - x)^(1//8))/(x)
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- Show that : lim(x to 3)(x-3)/(sqrt(|x^(2)-9|))=0
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- Evaluate Lt(x to 0)(e^x-sinx-1)/(x)
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- Evaluate Lt(x to 1)(log(e)x)/(x - 1)
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- Evaluate Lt(x to 0)(log(1 + 5x))/(x)
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- Evaluate Lt(x to 3) (e^x - e^3)/(x - 3)
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- Evaluate lim(x to 0) (e^(sinx)-1)/(x)
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