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SRISIRI PUBLICATION-IPE SCANNER (TEXTUAL BITS)-LIMITS & CONTINUITY
- Find {:(" Lt"),(xrarr0):}(sin(a+bx)-sin(a-bx))/(x)
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- underset(x to oo)(" Lt ") (8|x|+3x)/(3|x|-2x).
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- Show that Lt(x to0+)((2|x|)/x+x+1)=3.
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- Is f defined by f(x) = {((sin 2x)/x, if x != 0),(1, if x = 0):} contin...
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- Is f given by f(x)={{:((x^(2)-9)/(x^(2)-2x-3),"if "0ltxlt5andxne3),(1....
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- Check the continity of the following function at 2 . f(x)={{:((1)/(2)(...
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- Show that f(x)={{:((cosax-cosbx)/(x^(2))," if " xne0),((1)/(2)(b^(2)...
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- Evaluate Lt(x to 3) (x^4 - 81)/(2x^2 - 5x - 3)
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- Evaluate Lt(x to 3) (x^3 - 3x^2)/(x^2 - 5x + 6)
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- Compute the limit of Lt(x to3)(x^2-8x+15)/(x^2-9)
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- underset(x to 1)"Lt" ((2x-3)(sqrtx-1))/(2x^(2)+x-3)=
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- Evaluate Lt(x to 1)((1+x)^(3//2) - 1)/(x)
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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 Lt(x to 0)(e^(x)-1)/(x)=1
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- Evaluate Lt(x to 3) (e^x - e^3)/(x - 3)
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- Evaluate Lt(x to 0)(e^(sin x) - 1)/(x - 3)
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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 0)(3^x - 1)/(sqrt(1 + x) - 1)
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