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limx→0(1−sec2(7x)(3x)2)
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Solution
−499
+2
Decimal
−5.44444…
Mixed Number
−549
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Solution steps
Solve by:
One step at a time
limx→0(1−sec2(7x)(3x)2)
Rewrite using trig identities
=limx→0(−tan2(7x)9x2)
limx→a[c·f(x)]=c·limx→af(x)
=−19·limx→0(tan2(7x)x2)
Simplify tan2(7x)x2:(tan(7x)x)2
=−19·limx→0((tan(7x)x)2)
limx→a[f(x)]b=[limx→af(x)]b With the exception of indeterminate form