Expansions to Remove Indeterminate Form
Trending Questions
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Choose the correct option and justify your choice:
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For
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Evaluate:
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in fraction from.
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If , then the value of at is
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The general solution of , for any integer is
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The principal value of is equal to
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Choose the correct option and justify your choice:
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The value of is
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Evaluate:
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Let f, g, h be the length of the perpendiculars from the circumcentre of the ΔABC on the sides a, b, and c, respecitively then the value of k for which af+bg+ch=kabcfgh, is
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Let α, β∈R be such that limx→0x2sin(βx)αx−sin x=1. Then 6(α+β) is equal to
Q. If limn→∞[((10091010)n+(10101009)n)]1n is equal to ab, where a, b ϵN, then b−a is equal to
Q.
Evaluate:
Q. limx→1(1lnx−1x−1) equals
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Q. Let f(x)=1+eln(lnx)⋅ln(k2+25) and g(x)=1|x|−1. If limx→1f(x)g(x)=k(2sin2α+3cosβ+5), k>0 and α, β∈R, then which of the following statement(s) is (are) CORRECT?
- k=5
- sin10α+cos5βsin2α+cosβ=1
- cos2β+sin4α=2
- sin2α>cosβ
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Evaluate .
Q. Let f(x)=⎧⎪
⎪
⎪
⎪⎨⎪
⎪
⎪
⎪⎩e−x22−cosxxln(1+x)sinx(ex−1), x≠0 k , x=0.
If f(x) is continuous at x=0, then k equals
If f(x) is continuous at x=0, then k equals
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Q. If f(x)=⎧⎪
⎪
⎪
⎪⎨⎪
⎪
⎪
⎪⎩(4x−1)3sin(xa)ln(1+x23), x≠09(ln4)3, x=0 is continuous at x=0, then the value of a is
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Q. The value of limx→06sinx+3sin2x−4sin3xx2sinx is