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SRISIRI PUBLICATION-IPE SCANNER (TEXTUAL BITS)-LIMITS & CONTINUITY
- Evaluate Lt(x to 0)("sec" x - 1)/(x^2)
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- underset(x to 0)"Lt" (1-cos mx)/(1-cos nx)=
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- Evaluate Lt(x to 0)(x(e^x - 1))/(1 - cos x)
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- Evaluate Lt(x to 0)(log(1 + x^3))/(sin^3 x)
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- Evaluate {:(" Lt"),(xrarr2):}{(1)/(x-2)-(4)/(x^(2)-4)}
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- If f is given by f(x)={{:(k^(2)x-k,"if "xge1),(2,"if "xlt1):} is a co...
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- Find whether the limit of f(x) exists or not at x = 3, where f(x) = ...
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- If f(x) = (|x|)/x then show that Lt(x to 0) f(x) does not exist.
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- Find Lt(x to -oo)(5x^3 + 4)/(sqrt(2x^4 + 1))
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- Find {:(" Lt"),(xrarra):}[(sin(x-a)tan^(2)(x-a))/((x^(2)-a^(2))^(2))]
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- Find Lt(x to a) [(sqrt(a + 2x) - sqrt(3x))/(sqrt(3a + x)-2sqrt(x))]
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- Find Lt(x to a) ((x sin a - a sin x)/(x -a))
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- Evaluate Lt(x to 0) (x tan 2x - 2x tan x)/((1 - cos 2x)^(2))
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- Evaluate Lt(x to oo) (x^2-sinx)/(x^2 - 2)
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- Compute Lt(x to 3) (x^2 - 9)/(x^3 - 6x^2 + 9x + 1)
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- Compute Lt(x to 0)(sin ax)/(sin bx), b != 0, a != b
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- Evaluate Lt(x to 0)(log(1 + 5x))/(x)
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- Is the function f, defined by f(x) = {(x^2, if x le1),(x, if x > 1):} ...
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- Show that f(x) = sinx is continuous on R .
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- Define a continuous function at a point.
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