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AAKASH SERIES-LIMITS-EXERCISE 1.1 (SHORT ANSWER QUESTIONS)
- If f(x) = (|x|)/x then show that Lt(x to 0) f(x) does not exist.
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- Show that Lt(xto2-)(|x-2|)/(x-2)=-1
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- Show that Lt(x to0+)((2|x|)/x+x+1)=3.
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- Show that Lt(x to2)([x]+x) does ot exists.
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- Show that Lt(xto3+){[x]-x}=0
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- underset(x to oo)(" Lt ") (8|x|+3x)/(3|x|-2x).
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- Compute : Lt(xto2-)sqrt(2-x). What is the value of Lt(xto2)sqrt(2-x)?
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- Compute : Lt(x to-(1)/(2)+) sqrt(1+2x) What is the value of Lt(x to-...
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- Show that Lt(x to-2) sqrt(x^(2)-4)=0= Lt(x to 2) sqrt(x^(2)-4)
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- Show that : lim(x to 3)(x-3)/(sqrt(|x^(2)-9|))=0
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- Find the left and right hand limits of the function at the point 'a' m...
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- Find whether the limit of f(x) exists or not at x = 3, where f(x) = ...
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- Find the left and right hand limits of the function at the point 'a' m...
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- If f(x)={{:(,1,(x lt 0)),(,2x+1,(x le 1)),(,3x,(x gt 1)):}" then "unde...
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- If the function f is defined by f(x)={{:(3x-2",",x gt 3),(x^2-2",",-2 ...
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- Let f:R to R defined by f(x)={{:(2x-1,if x lt 3),(5, if x ge 3):} ...
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- Suppose f(x)={{:(a+bx,if x lt 1),(4, if x =1),(b-ax, ifx gt 1):} If ...
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- Find Lt(x to 0)f(x) where f(x)={{:(x-1,if gt0),(0, if x=0),(x+1, if...
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